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Finding the Third Proportional to 151.97 and 227.88

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Solution

The third proportional to 151.97 and 227.88 is: 341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.97 : 227.88 = 227.88 : x
  2. Step 2: Convert to fraction form
    151.97/227.88 = 227.88/x
  3. Step 3: Cross multiply
    151.97x = 227.88 × 227.88
  4. Step 4: Simplify right side
    151.97x = 51,927.02
  5. Step 5: Solve for x
    x = 51,927.02/151.97
  6. Step 6: Final answer
    x = 341.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.