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Finding the Third Proportional to 169.91 and 371.62

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Solution

The third proportional to 169.91 and 371.62 is: 812.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.91 : 371.62 = 371.62 : x
  2. Step 2: Convert to fraction form
    169.91/371.62 = 371.62/x
  3. Step 3: Cross multiply
    169.91x = 371.62 × 371.62
  4. Step 4: Simplify right side
    169.91x = 138,100.79
  5. Step 5: Solve for x
    x = 138,100.79/169.91
  6. Step 6: Final answer
    x = 812.79

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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.