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Finding the Third Proportional to 239,168 and 520,375

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Solution

The third proportional to 239,168 and 520,375 is: 1,132,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,168 : 520,375 = 520,375 : x
  2. Step 2: Convert to fraction form
    239,168/520,375 = 520,375/x
  3. Step 3: Cross multiply
    239,168x = 520,375 × 520,375
  4. Step 4: Simplify right side
    239,168x = 270,790,140,625
  5. Step 5: Solve for x
    x = 270,790,140,625/239,168
  6. Step 6: Final answer
    x = 1,132,217.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.