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Finding the Third Proportional to 201,694 and 267,549

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Solution

The third proportional to 201,694 and 267,549 is: 354,906.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,694 : 267,549 = 267,549 : x
  2. Step 2: Convert to fraction form
    201,694/267,549 = 267,549/x
  3. Step 3: Cross multiply
    201,694x = 267,549 × 267,549
  4. Step 4: Simplify right side
    201,694x = 71,582,467,401
  5. Step 5: Solve for x
    x = 71,582,467,401/201,694
  6. Step 6: Final answer
    x = 354,906.28

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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.