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Finding the Third Proportional to 226.34 and 495.91

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Solution

The third proportional to 226.34 and 495.91 is: 1,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 495.91 = 495.91 : x
  2. Step 2: Convert to fraction form
    226.34/495.91 = 495.91/x
  3. Step 3: Cross multiply
    226.34x = 495.91 × 495.91
  4. Step 4: Simplify right side
    226.34x = 245,930.76
  5. Step 5: Solve for x
    x = 245,930.76/226.34
  6. Step 6: Final answer
    x = 1,086.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.