Starbase 185 was a Federation starbase administered by Starfleet.

This starbase was the closest to the J-25 system when the USS Enterprise-D was transported there by Q in 2365. It was calculated that the 7,000 light year journey back would take approximately two years and seven months at maximum warp. (TNG: "Q Who")

This starbase was only mentioned in dialogue.
According to Star Trek: Star Charts ("United Federation of Planets II") and Stellar Cartography: The Starfleet Reference Library ("Federation Historical Highlights, 2161-2385"), Starbase 185 was located in the Beta Quadrant.

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