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Finding the Third Proportional to 167,400 and 251,469

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Solution

The third proportional to 167,400 and 251,469 is: 377,757.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,400 : 251,469 = 251,469 : x
  2. Step 2: Convert to fraction form
    167,400/251,469 = 251,469/x
  3. Step 3: Cross multiply
    167,400x = 251,469 × 251,469
  4. Step 4: Simplify right side
    167,400x = 63,236,657,961
  5. Step 5: Solve for x
    x = 63,236,657,961/167,400
  6. Step 6: Final answer
    x = 377,757.81

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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.