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Finding the Third Proportional to 151.38 and 232.80

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Solution

The third proportional to 151.38 and 232.80 is: 358.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.38 : 232.80 = 232.80 : x
  2. Step 2: Convert to fraction form
    151.38/232.80 = 232.80/x
  3. Step 3: Cross multiply
    151.38x = 232.80 × 232.80
  4. Step 4: Simplify right side
    151.38x = 54,198.02
  5. Step 5: Solve for x
    x = 54,198.02/151.38
  6. Step 6: Final answer
    x = 358.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.