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Finding the Third Proportional to 148.27 and 232.92

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Solution

The third proportional to 148.27 and 232.92 is: 365.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.27 : 232.92 = 232.92 : x
  2. Step 2: Convert to fraction form
    148.27/232.92 = 232.92/x
  3. Step 3: Cross multiply
    148.27x = 232.92 × 232.92
  4. Step 4: Simplify right side
    148.27x = 54,252.60
  5. Step 5: Solve for x
    x = 54,252.60/148.27
  6. Step 6: Final answer
    x = 365.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.