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Finding the Third Proportional to 104,780 and 227,048

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Solution

The third proportional to 104,780 and 227,048 is: 491,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,780 : 227,048 = 227,048 : x
  2. Step 2: Convert to fraction form
    104,780/227,048 = 227,048/x
  3. Step 3: Cross multiply
    104,780x = 227,048 × 227,048
  4. Step 4: Simplify right side
    104,780x = 51,550,794,304
  5. Step 5: Solve for x
    x = 51,550,794,304/104,780
  6. Step 6: Final answer
    x = 491,990.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.