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Finding the Third Proportional to 185,757.75 and 407,113.50

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Solution

The third proportional to 185,757.75 and 407,113.50 is: 892,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,757.75 : 407,113.50 = 407,113.50 : x
  2. Step 2: Convert to fraction form
    185,757.75/407,113.50 = 407,113.50/x
  3. Step 3: Cross multiply
    185,757.75x = 407,113.50 × 407,113.50
  4. Step 4: Simplify right side
    185,757.75x = 165,741,401,882.25
  5. Step 5: Solve for x
    x = 165,741,401,882.25/185,757.75
  6. Step 6: Final answer
    x = 892,244.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.