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Finding the Third Proportional to 168.43 and 251.61

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Solution

The third proportional to 168.43 and 251.61 is: 375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.43 : 251.61 = 251.61 : x
  2. Step 2: Convert to fraction form
    168.43/251.61 = 251.61/x
  3. Step 3: Cross multiply
    168.43x = 251.61 × 251.61
  4. Step 4: Simplify right side
    168.43x = 63,309.24
  5. Step 5: Solve for x
    x = 63,309.24/168.43
  6. Step 6: Final answer
    x = 375.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.