  If gamma-ray bursts have a cosmological origin, the sources are expected to
trace the large-scale structure of luminous matter in the universe. I use a new
likelihood method that compares the counts-in-cells distribution of gamma-ray
bursts in the BATSE 3B catalog with that expected from the known large-scale
structure of the universe, in order to place a constraint on the distance scale
to cosmological bursts. I find, at the 95% confidence level, that the comoving
distance to the ``edge'' of the burst distribution is greater than 630 $h^{-1}$
Mpc (z > 0.25), and that the nearest burst is farther than 40 $h^{-1}$ Mpc. The
median distance to the nearest burst is 170 $h^{-1}$ Mpc, implying that the
total energy released in gamma-rays during a burst event is of order $3 \times
10^{51}~h^{-2}$ erg. None of the bursts that have been observed by BATSE are in
nearby galaxies, nor is a signature from the Coma cluster or the ``Great Wall''
likely to be seen in the data at present.
