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Finding the Third Proportional to 167,098 and 251,446

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Solution

The third proportional to 167,098 and 251,446 is: 378,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,098 : 251,446 = 251,446 : x
  2. Step 2: Convert to fraction form
    167,098/251,446 = 251,446/x
  3. Step 3: Cross multiply
    167,098x = 251,446 × 251,446
  4. Step 4: Simplify right side
    167,098x = 63,225,090,916
  5. Step 5: Solve for x
    x = 63,225,090,916/167,098
  6. Step 6: Final answer
    x = 378,371.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.