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Finding the Third Proportional to 250,213.50 and 550,230.75

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Solution

The third proportional to 250,213.50 and 550,230.75 is: 1,209,982.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,213.50 : 550,230.75 = 550,230.75 : x
  2. Step 2: Convert to fraction form
    250,213.50/550,230.75 = 550,230.75/x
  3. Step 3: Cross multiply
    250,213.50x = 550,230.75 × 550,230.75
  4. Step 4: Simplify right side
    250,213.50x = 302,753,878,245.56
  5. Step 5: Solve for x
    x = 302,753,878,245.56/250,213.50
  6. Step 6: Final answer
    x = 1,209,982.19

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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.