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Finding the Third Proportional to 200,983.50 and 441,346.50

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Solution

The third proportional to 200,983.50 and 441,346.50 is: 969,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,983.50 : 441,346.50 = 441,346.50 : x
  2. Step 2: Convert to fraction form
    200,983.50/441,346.50 = 441,346.50/x
  3. Step 3: Cross multiply
    200,983.50x = 441,346.50 × 441,346.50
  4. Step 4: Simplify right side
    200,983.50x = 194,786,733,062.25
  5. Step 5: Solve for x
    x = 194,786,733,062.25/200,983.50
  6. Step 6: Final answer
    x = 969,167.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.