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Finding the Third Proportional to 170,618 and 267,626

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Solution

The third proportional to 170,618 and 267,626 is: 419,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,618 : 267,626 = 267,626 : x
  2. Step 2: Convert to fraction form
    170,618/267,626 = 267,626/x
  3. Step 3: Cross multiply
    170,618x = 267,626 × 267,626
  4. Step 4: Simplify right side
    170,618x = 71,623,675,876
  5. Step 5: Solve for x
    x = 71,623,675,876/170,618
  6. Step 6: Final answer
    x = 419,789.68

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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.