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Finding the Third Proportional to 132.42 and 272.43

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Solution

The third proportional to 132.42 and 272.43 is: 560.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.42 : 272.43 = 272.43 : x
  2. Step 2: Convert to fraction form
    132.42/272.43 = 272.43/x
  3. Step 3: Cross multiply
    132.42x = 272.43 × 272.43
  4. Step 4: Simplify right side
    132.42x = 74,215.81
  5. Step 5: Solve for x
    x = 74,215.81/132.42
  6. Step 6: Final answer
    x = 560.47

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.