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Finding the Third Proportional to 244.27 and 316.83

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Solution

The third proportional to 244.27 and 316.83 is: 410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.27 : 316.83 = 316.83 : x
  2. Step 2: Convert to fraction form
    244.27/316.83 = 316.83/x
  3. Step 3: Cross multiply
    244.27x = 316.83 × 316.83
  4. Step 4: Simplify right side
    244.27x = 100,380.06
  5. Step 5: Solve for x
    x = 100,380.06/244.27
  6. Step 6: Final answer
    x = 410.95

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.