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Finding the Third Proportional to 132.31 and 281.69

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Solution

The third proportional to 132.31 and 281.69 is: 599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.31 : 281.69 = 281.69 : x
  2. Step 2: Convert to fraction form
    132.31/281.69 = 281.69/x
  3. Step 3: Cross multiply
    132.31x = 281.69 × 281.69
  4. Step 4: Simplify right side
    132.31x = 79,347.85
  5. Step 5: Solve for x
    x = 79,347.85/132.31
  6. Step 6: Final answer
    x = 599.70

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.