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Finding the Third Proportional to 147,593 and 316,687

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Solution

The third proportional to 147,593 and 316,687 is: 679,508.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,593 : 316,687 = 316,687 : x
  2. Step 2: Convert to fraction form
    147,593/316,687 = 316,687/x
  3. Step 3: Cross multiply
    147,593x = 316,687 × 316,687
  4. Step 4: Simplify right side
    147,593x = 100,290,655,969
  5. Step 5: Solve for x
    x = 100,290,655,969/147,593
  6. Step 6: Final answer
    x = 679,508.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.