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Finding the Third Proportional to 132.38 and 292.88

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Solution

The third proportional to 132.38 and 292.88 is: 647.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.38 : 292.88 = 292.88 : x
  2. Step 2: Convert to fraction form
    132.38/292.88 = 292.88/x
  3. Step 3: Cross multiply
    132.38x = 292.88 × 292.88
  4. Step 4: Simplify right side
    132.38x = 85,775.77
  5. Step 5: Solve for x
    x = 85,775.77/132.38
  6. Step 6: Final answer
    x = 647.98

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.