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Finding the Third Proportional to 170,367 and 267,291

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Solution

The third proportional to 170,367 and 267,291 is: 419,356.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,367 : 267,291 = 267,291 : x
  2. Step 2: Convert to fraction form
    170,367/267,291 = 267,291/x
  3. Step 3: Cross multiply
    170,367x = 267,291 × 267,291
  4. Step 4: Simplify right side
    170,367x = 71,444,478,681
  5. Step 5: Solve for x
    x = 71,444,478,681/170,367
  6. Step 6: Final answer
    x = 419,356.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.