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Finding the Third Proportional to 132.47 and 283.71

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Solution

The third proportional to 132.47 and 283.71 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.47 : 283.71 = 283.71 : x
  2. Step 2: Convert to fraction form
    132.47/283.71 = 283.71/x
  3. Step 3: Cross multiply
    132.47x = 283.71 × 283.71
  4. Step 4: Simplify right side
    132.47x = 80,491.90
  5. Step 5: Solve for x
    x = 80,491.90/132.47
  6. Step 6: Final answer
    x = 607.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.