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Finding the Third Proportional to 106,542 and 231,309

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Solution

The third proportional to 106,542 and 231,309 is: 502,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,542 : 231,309 = 231,309 : x
  2. Step 2: Convert to fraction form
    106,542/231,309 = 231,309/x
  3. Step 3: Cross multiply
    106,542x = 231,309 × 231,309
  4. Step 4: Simplify right side
    106,542x = 53,503,853,481
  5. Step 5: Solve for x
    x = 53,503,853,481/106,542
  6. Step 6: Final answer
    x = 502,185.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.