2.5 or 3 way; why one over the other?


So, in my research, I see several well regarded Manufacturers making both 2.5 and 3 way speaker systems in the same product series.  Often they are close in height (floorstanders) and footprint and presumably use comparable quality components.  Please help me understand the pro's and con's as to why one would choose one over the other.
larstusor
tatyana gets my question.  I appreciate all the info on the technical differences between 2, 2.5 and 3 way systems but I live far away from any place to audition speakers, let alone ones from several different manufacturers; so, when I see (in print) the description of any particular company's  speaker systems in the same series (price point) and they have both a 2.5 and an 3 way, otherwise similar in size (may vary an inch or two in height) and construction, and a few dollars difference in price, what should I expect as a difference in sound between the two. In your collective experiences, why would one tend to prefer one over the other?   A typical example is the Dynaudio Excite X34 and X36. 
Read and digest the info on those 2 dynaudio speaker. Read reviews of each and comparisons. Speak to the dealer. Tell us what you learn and what “specific” questions you are left with.