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Finding the Third Proportional to 176.06 and 249.61

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Solution

The third proportional to 176.06 and 249.61 is: 353.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.06 : 249.61 = 249.61 : x
  2. Step 2: Convert to fraction form
    176.06/249.61 = 249.61/x
  3. Step 3: Cross multiply
    176.06x = 249.61 × 249.61
  4. Step 4: Simplify right side
    176.06x = 62,304.84
  5. Step 5: Solve for x
    x = 62,304.84/176.06
  6. Step 6: Final answer
    x = 353.88

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.