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Finding the Third Proportional to 167,136 and 251,499

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Solution

The third proportional to 167,136 and 251,499 is: 378,444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,136 : 251,499 = 251,499 : x
  2. Step 2: Convert to fraction form
    167,136/251,499 = 251,499/x
  3. Step 3: Cross multiply
    167,136x = 251,499 × 251,499
  4. Step 4: Simplify right side
    167,136x = 63,251,747,001
  5. Step 5: Solve for x
    x = 63,251,747,001/167,136
  6. Step 6: Final answer
    x = 378,444.78

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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.