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Finding the Third Proportional to 129,327 and 200,715

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Solution

The third proportional to 129,327 and 200,715 is: 311,508.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,327 : 200,715 = 200,715 : x
  2. Step 2: Convert to fraction form
    129,327/200,715 = 200,715/x
  3. Step 3: Cross multiply
    129,327x = 200,715 × 200,715
  4. Step 4: Simplify right side
    129,327x = 40,286,511,225
  5. Step 5: Solve for x
    x = 40,286,511,225/129,327
  6. Step 6: Final answer
    x = 311,508.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.