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Finding the Third Proportional to 151.45 and 227.18

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Solution

The third proportional to 151.45 and 227.18 is: 340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.45 : 227.18 = 227.18 : x
  2. Step 2: Convert to fraction form
    151.45/227.18 = 227.18/x
  3. Step 3: Cross multiply
    151.45x = 227.18 × 227.18
  4. Step 4: Simplify right side
    151.45x = 51,610.61
  5. Step 5: Solve for x
    x = 51,610.61/151.45
  6. Step 6: Final answer
    x = 340.77

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Why These Related Problems?

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