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Finding the Third Proportional to 157,131 and 339,363

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Solution

The third proportional to 157,131 and 339,363 is: 732,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,131 : 339,363 = 339,363 : x
  2. Step 2: Convert to fraction form
    157,131/339,363 = 339,363/x
  3. Step 3: Cross multiply
    157,131x = 339,363 × 339,363
  4. Step 4: Simplify right side
    157,131x = 115,167,245,769
  5. Step 5: Solve for x
    x = 115,167,245,769/157,131
  6. Step 6: Final answer
    x = 732,937.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.