suggest XLR balanced to RCA hardware?


I'm running two soundsystems in my apartment from a DJ mixer. One system is currently running via a really long RCA cord to the other room. I would like to utilize the XLR out on my mixer, but my integrated amp is RCA in only. I was wondering if someone could recommend a piece of hardware that would be appropriate for keeping a balanced signal over a long distance (so balanced XLR ins) with an RCA output (a short cable to go to my integrated amp). Right now I don't even know what such a device is called. I'm looking for a solid piece of equipment, but nothing too expensive (<$150 if possible).
brandle
Hi Brandle

Since you are familiar with pro audio gear how about this solution?

Rane BB 44X Balance Buddy.

http://www.rane.com/bb44x.html#gpm1_2

Used it can go for about $160 or less. It does XLR to RCA and vice versa.

If not what about Hosa or Switchcraft XLR to RCA adapters?
Regarding adapters, I was under the impression that, in order for the signal to stay balanced, it would have to go into another piece of hardware with balanced inputs. Using an XLR to RCA adapter wouldn't keep the signal balanced. Is that correct?
Thanks, I really like the Rane mixers I've had, so I might give the balance buddy a try.