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Finding the Third Proportional to 132.25 and 197.88

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Solution

The third proportional to 132.25 and 197.88 is: 296.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.25 : 197.88 = 197.88 : x
  2. Step 2: Convert to fraction form
    132.25/197.88 = 197.88/x
  3. Step 3: Cross multiply
    132.25x = 197.88 × 197.88
  4. Step 4: Simplify right side
    132.25x = 39,154.52
  5. Step 5: Solve for x
    x = 39,154.52/132.25
  6. Step 6: Final answer
    x = 296.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.