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Finding the Third Proportional to 226.27 and 318.80

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Solution

The third proportional to 226.27 and 318.80 is: 449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.27 : 318.80 = 318.80 : x
  2. Step 2: Convert to fraction form
    226.27/318.80 = 318.80/x
  3. Step 3: Cross multiply
    226.27x = 318.80 × 318.80
  4. Step 4: Simplify right side
    226.27x = 101,631.45
  5. Step 5: Solve for x
    x = 101,631.45/226.27
  6. Step 6: Final answer
    x = 449.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.