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Finding the Third Proportional to 166,742 and 251,552

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Solution

The third proportional to 166,742 and 251,552 is: 379,498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,742 : 251,552 = 251,552 : x
  2. Step 2: Convert to fraction form
    166,742/251,552 = 251,552/x
  3. Step 3: Cross multiply
    166,742x = 251,552 × 251,552
  4. Step 4: Simplify right side
    166,742x = 63,278,408,704
  5. Step 5: Solve for x
    x = 63,278,408,704/166,742
  6. Step 6: Final answer
    x = 379,498.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.