How did the First Partition of Poland in 1772 benefit Prussia?

The First Partition of Poland in 1772 provided significant strategic and economic advantages to Prussia under the reign of Frederick II (the Great).

The primary benefit was the acquisition of the province of Royal Prussia (which the Prussians termed West Prussia), excluding the cities of Gdańsk and Toruń. This territory was considered economically valuable and served a vital geopolitical function: it created a crucial territorial link between East Prussia (formerly Ducal Prussia) and the rest of the Hohenzollern domains located to the west.123

In addition to this region, Prussia also gained the northern portion of the Great Poland (Wielkopolska) region. By orchestrating this partition, Frederick II successfully avoided an escalation of the Russo-Turkish War and stabilized Austro-Russian relations by redirecting Russian expansionist interests toward the structurally weak Polish state.12