Finding the Third Proportional to 157,916.25 and 204,882.75
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Solution
The third proportional to 157,916.25 and 204,882.75 is: 265,817.74
Step by Step Solution
- Step 1: Write the proportion equation
157,916.25 : 204,882.75 = 204,882.75 : x - Step 2: Convert to fraction form
157,916.25/204,882.75 = 204,882.75/x - Step 3: Cross multiply
157,916.25x = 204,882.75 × 204,882.75 - Step 4: Simplify right side
157,916.25x = 41,976,941,247.56 - Step 5: Solve for x
x = 41,976,941,247.56/157,916.25 - Step 6: Final answer
x = 265,817.74
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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.