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Finding the Third Proportional to 204,819.75 and 419,481

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Solution

The third proportional to 204,819.75 and 419,481 is: 859,117.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,819.75 : 419,481 = 419,481 : x
  2. Step 2: Convert to fraction form
    204,819.75/419,481 = 419,481/x
  3. Step 3: Cross multiply
    204,819.75x = 419,481 × 419,481
  4. Step 4: Simplify right side
    204,819.75x = 175,964,309,361
  5. Step 5: Solve for x
    x = 175,964,309,361/204,819.75
  6. Step 6: Final answer
    x = 859,117.88

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.