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Finding the Third Proportional to 167,778 and 251,802

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Solution

The third proportional to 167,778 and 251,802 is: 377,905.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,778 : 251,802 = 251,802 : x
  2. Step 2: Convert to fraction form
    167,778/251,802 = 251,802/x
  3. Step 3: Cross multiply
    167,778x = 251,802 × 251,802
  4. Step 4: Simplify right side
    167,778x = 63,404,247,204
  5. Step 5: Solve for x
    x = 63,404,247,204/167,778
  6. Step 6: Final answer
    x = 377,905.61

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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.