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Finding the Third Proportional to 204,979.50 and 441,097.88

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Solution

The third proportional to 204,979.50 and 441,097.88 is: 949,203.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,979.50 : 441,097.88 = 441,097.88 : x
  2. Step 2: Convert to fraction form
    204,979.50/441,097.88 = 441,097.88/x
  3. Step 3: Cross multiply
    204,979.50x = 441,097.88 × 441,097.88
  4. Step 4: Simplify right side
    204,979.50x = 194,567,335,329.52
  5. Step 5: Solve for x
    x = 194,567,335,329.52/204,979.50
  6. Step 6: Final answer
    x = 949,203.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.