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Finding the Third Proportional to 167,500 and 251,604

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Solution

The third proportional to 167,500 and 251,604 is: 377,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,500 : 251,604 = 251,604 : x
  2. Step 2: Convert to fraction form
    167,500/251,604 = 251,604/x
  3. Step 3: Cross multiply
    167,500x = 251,604 × 251,604
  4. Step 4: Simplify right side
    167,500x = 63,304,572,816
  5. Step 5: Solve for x
    x = 63,304,572,816/167,500
  6. Step 6: Final answer
    x = 377,937.75

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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.