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Finding the Third Proportional to 204,249.50 and 441,294.50

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Solution

The third proportional to 204,249.50 and 441,294.50 is: 953,445.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,249.50 : 441,294.50 = 441,294.50 : x
  2. Step 2: Convert to fraction form
    204,249.50/441,294.50 = 441,294.50/x
  3. Step 3: Cross multiply
    204,249.50x = 441,294.50 × 441,294.50
  4. Step 4: Simplify right side
    204,249.50x = 194,740,835,730.25
  5. Step 5: Solve for x
    x = 194,740,835,730.25/204,249.50
  6. Step 6: Final answer
    x = 953,445.84

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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.