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Finding the Third Proportional to 104.72 and 227.86

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Solution

The third proportional to 104.72 and 227.86 is: 495.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.72 : 227.86 = 227.86 : x
  2. Step 2: Convert to fraction form
    104.72/227.86 = 227.86/x
  3. Step 3: Cross multiply
    104.72x = 227.86 × 227.86
  4. Step 4: Simplify right side
    104.72x = 51,919.89
  5. Step 5: Solve for x
    x = 51,919.89/104.72
  6. Step 6: Final answer
    x = 495.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.