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Finding the Third Proportional to 132.13 and 283.88

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Solution

The third proportional to 132.13 and 283.88 is: 609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.13 : 283.88 = 283.88 : x
  2. Step 2: Convert to fraction form
    132.13/283.88 = 283.88/x
  3. Step 3: Cross multiply
    132.13x = 283.88 × 283.88
  4. Step 4: Simplify right side
    132.13x = 80,585.02
  5. Step 5: Solve for x
    x = 80,585.02/132.13
  6. Step 6: Final answer
    x = 609.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.