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Finding the Third Proportional to 139.92 and 217.55

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Solution

The third proportional to 139.92 and 217.55 is: 338.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 217.55 = 217.55 : x
  2. Step 2: Convert to fraction form
    139.92/217.55 = 217.55/x
  3. Step 3: Cross multiply
    139.92x = 217.55 × 217.55
  4. Step 4: Simplify right side
    139.92x = 47,326.64
  5. Step 5: Solve for x
    x = 47,326.64/139.92
  6. Step 6: Final answer
    x = 338.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.