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Finding the Third Proportional to 113.91 and 249.17

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Solution

The third proportional to 113.91 and 249.17 is: 545.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 249.17 = 249.17 : x
  2. Step 2: Convert to fraction form
    113.91/249.17 = 249.17/x
  3. Step 3: Cross multiply
    113.91x = 249.17 × 249.17
  4. Step 4: Simplify right side
    113.91x = 62,085.65
  5. Step 5: Solve for x
    x = 62,085.65/113.91
  6. Step 6: Final answer
    x = 545.06

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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.