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Finding the Third Proportional to 151.24 and 331.28

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Solution

The third proportional to 151.24 and 331.28 is: 725.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.24 : 331.28 = 331.28 : x
  2. Step 2: Convert to fraction form
    151.24/331.28 = 331.28/x
  3. Step 3: Cross multiply
    151.24x = 331.28 × 331.28
  4. Step 4: Simplify right side
    151.24x = 109,744.68
  5. Step 5: Solve for x
    x = 109,744.68/151.24
  6. Step 6: Final answer
    x = 725.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.