Finding the Third Proportional to 204,122.25 and 317,361.75
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Solution
The third proportional to 204,122.25 and 317,361.75 is: 493,422.35
Step by Step Solution
- Step 1: Write the proportion equation
204,122.25 : 317,361.75 = 317,361.75 : x - Step 2: Convert to fraction form
204,122.25/317,361.75 = 317,361.75/x - Step 3: Cross multiply
204,122.25x = 317,361.75 × 317,361.75 - Step 4: Simplify right side
204,122.25x = 100,718,480,363.06 - Step 5: Solve for x
x = 100,718,480,363.06/204,122.25 - Step 6: Final answer
x = 493,422.35
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.