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Finding the Third Proportional to 104,990 and 227,474

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Solution

The third proportional to 104,990 and 227,474 is: 492,850.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,990 : 227,474 = 227,474 : x
  2. Step 2: Convert to fraction form
    104,990/227,474 = 227,474/x
  3. Step 3: Cross multiply
    104,990x = 227,474 × 227,474
  4. Step 4: Simplify right side
    104,990x = 51,744,420,676
  5. Step 5: Solve for x
    x = 51,744,420,676/104,990
  6. Step 6: Final answer
    x = 492,850.94

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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.