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Finding the Third Proportional to 148.97 and 226.66

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Solution

The third proportional to 148.97 and 226.66 is: 344.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.97 : 226.66 = 226.66 : x
  2. Step 2: Convert to fraction form
    148.97/226.66 = 226.66/x
  3. Step 3: Cross multiply
    148.97x = 226.66 × 226.66
  4. Step 4: Simplify right side
    148.97x = 51,372.78
  5. Step 5: Solve for x
    x = 51,372.78/148.97
  6. Step 6: Final answer
    x = 344.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.