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Finding the Third Proportional to 165,898 and 251,919

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Solution

The third proportional to 165,898 and 251,919 is: 382,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,898 : 251,919 = 251,919 : x
  2. Step 2: Convert to fraction form
    165,898/251,919 = 251,919/x
  3. Step 3: Cross multiply
    165,898x = 251,919 × 251,919
  4. Step 4: Simplify right side
    165,898x = 63,463,182,561
  5. Step 5: Solve for x
    x = 63,463,182,561/165,898
  6. Step 6: Final answer
    x = 382,543.39

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.