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Finding the Third Proportional to 69.28 and 151.59

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Solution

The third proportional to 69.28 and 151.59 is: 331.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.28 : 151.59 = 151.59 : x
  2. Step 2: Convert to fraction form
    69.28/151.59 = 151.59/x
  3. Step 3: Cross multiply
    69.28x = 151.59 × 151.59
  4. Step 4: Simplify right side
    69.28x = 22,980.67
  5. Step 5: Solve for x
    x = 22,980.67/69.28
  6. Step 6: Final answer
    x = 331.70

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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.