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Finding the Third Proportional to 203,949.14 and 440,327.39

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Solution

The third proportional to 203,949.14 and 440,327.39 is: 950,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,949.14 : 440,327.39 = 440,327.39 : x
  2. Step 2: Convert to fraction form
    203,949.14/440,327.39 = 440,327.39/x
  3. Step 3: Cross multiply
    203,949.14x = 440,327.39 × 440,327.39
  4. Step 4: Simplify right side
    203,949.14x = 193,888,210,934.62
  5. Step 5: Solve for x
    x = 193,888,210,934.62/203,949.14
  6. Step 6: Final answer
    x = 950,669.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.