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Finding the Third Proportional to 77,448 and 167,898

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Solution

The third proportional to 77,448 and 167,898 is: 363,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,448 : 167,898 = 167,898 : x
  2. Step 2: Convert to fraction form
    77,448/167,898 = 167,898/x
  3. Step 3: Cross multiply
    77,448x = 167,898 × 167,898
  4. Step 4: Simplify right side
    77,448x = 28,189,738,404
  5. Step 5: Solve for x
    x = 28,189,738,404/77,448
  6. Step 6: Final answer
    x = 363,982.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.