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Finding the Third Proportional to 231,092 and 344,721

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Solution

The third proportional to 231,092 and 344,721 is: 514,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,092 : 344,721 = 344,721 : x
  2. Step 2: Convert to fraction form
    231,092/344,721 = 344,721/x
  3. Step 3: Cross multiply
    231,092x = 344,721 × 344,721
  4. Step 4: Simplify right side
    231,092x = 118,832,567,841
  5. Step 5: Solve for x
    x = 118,832,567,841/231,092
  6. Step 6: Final answer
    x = 514,221.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.