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Finding the Third Proportional to 133.38 and 179.19

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Solution

The third proportional to 133.38 and 179.19 is: 240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.38 : 179.19 = 179.19 : x
  2. Step 2: Convert to fraction form
    133.38/179.19 = 179.19/x
  3. Step 3: Cross multiply
    133.38x = 179.19 × 179.19
  4. Step 4: Simplify right side
    133.38x = 32,108.16
  5. Step 5: Solve for x
    x = 32,108.16/133.38
  6. Step 6: Final answer
    x = 240.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.