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Finding the Third Proportional to 232.22 and 250.78

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Solution

The third proportional to 232.22 and 250.78 is: 270.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.22 : 250.78 = 250.78 : x
  2. Step 2: Convert to fraction form
    232.22/250.78 = 250.78/x
  3. Step 3: Cross multiply
    232.22x = 250.78 × 250.78
  4. Step 4: Simplify right side
    232.22x = 62,891.24
  5. Step 5: Solve for x
    x = 62,891.24/232.22
  6. Step 6: Final answer
    x = 270.83

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.