  In this paper, we present an analytical solution for the interacting
generalized holographic dark energy model, assuming a linear interaction rate
between dark energy and dark matter. We determine the equation of state
parameter, the generalized holographic Ricci dark energy density, the matter
density, and the deceleration parameter. By analyzing the behavior of these
cosmological parameters, we demonstrate that our model aligns with recent
observations and reproduces the late-time accelerated expansion of the
Universe. To compare our model with the $\Lambda$CDM model, we use various
diagnostic tools including statefinder, $Om(z)$-diagnostic, statefinder
hierarchy, growth rate analysis, and $\omega_H$-$\omega'_H$ plane. We also
analyze the stability of the model by examining the speed of sound. These
methods show that the dynamics of the Universe remain very close to that of the
standard cosmological model.
