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Finding the Third Proportional to 151.69 and 335.91

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Solution

The third proportional to 151.69 and 335.91 is: 743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.69 : 335.91 = 335.91 : x
  2. Step 2: Convert to fraction form
    151.69/335.91 = 335.91/x
  3. Step 3: Cross multiply
    151.69x = 335.91 × 335.91
  4. Step 4: Simplify right side
    151.69x = 112,833.01
  5. Step 5: Solve for x
    x = 112,833.01/151.69
  6. Step 6: Final answer
    x = 743.85

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.