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Finding the Third Proportional to 200,535.75 and 300,842.44

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Solution

The third proportional to 200,535.75 and 300,842.44 is: 451,321.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,535.75 : 300,842.44 = 300,842.44 : x
  2. Step 2: Convert to fraction form
    200,535.75/300,842.44 = 300,842.44/x
  3. Step 3: Cross multiply
    200,535.75x = 300,842.44 × 300,842.44
  4. Step 4: Simplify right side
    200,535.75x = 90,506,172,200.94
  5. Step 5: Solve for x
    x = 90,506,172,200.94/200,535.75
  6. Step 6: Final answer
    x = 451,321.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.