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Finding the Third Proportional to 185,435 and 251,897

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Solution

The third proportional to 185,435 and 251,897 is: 342,179.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,435 : 251,897 = 251,897 : x
  2. Step 2: Convert to fraction form
    185,435/251,897 = 251,897/x
  3. Step 3: Cross multiply
    185,435x = 251,897 × 251,897
  4. Step 4: Simplify right side
    185,435x = 63,452,098,609
  5. Step 5: Solve for x
    x = 63,452,098,609/185,435
  6. Step 6: Final answer
    x = 342,179.73

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.