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Finding the Third Proportional to 113.91 and 244.27

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Solution

The third proportional to 113.91 and 244.27 is: 523.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.91 : 244.27 = 244.27 : x
  2. Step 2: Convert to fraction form
    113.91/244.27 = 244.27/x
  3. Step 3: Cross multiply
    113.91x = 244.27 × 244.27
  4. Step 4: Simplify right side
    113.91x = 59,665.70
  5. Step 5: Solve for x
    x = 59,665.70/113.91
  6. Step 6: Final answer
    x = 523.81

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.