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Finding the Third Proportional to 150,411 and 200,493

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Solution

The third proportional to 150,411 and 200,493 is: 267,250.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,411 : 200,493 = 200,493 : x
  2. Step 2: Convert to fraction form
    150,411/200,493 = 200,493/x
  3. Step 3: Cross multiply
    150,411x = 200,493 × 200,493
  4. Step 4: Simplify right side
    150,411x = 40,197,443,049
  5. Step 5: Solve for x
    x = 40,197,443,049/150,411
  6. Step 6: Final answer
    x = 267,250.69

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.