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Finding the Third Proportional to 226.27 and 367.17

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Solution

The third proportional to 226.27 and 367.17 is: 595.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.27 : 367.17 = 367.17 : x
  2. Step 2: Convert to fraction form
    226.27/367.17 = 367.17/x
  3. Step 3: Cross multiply
    226.27x = 367.17 × 367.17
  4. Step 4: Simplify right side
    226.27x = 134,815.19
  5. Step 5: Solve for x
    x = 134,815.19/226.27
  6. Step 6: Final answer
    x = 595.83

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.