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Finding the Third Proportional to 172,584 and 267,846

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Solution

The third proportional to 172,584 and 267,846 is: 415,690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,584 : 267,846 = 267,846 : x
  2. Step 2: Convert to fraction form
    172,584/267,846 = 267,846/x
  3. Step 3: Cross multiply
    172,584x = 267,846 × 267,846
  4. Step 4: Simplify right side
    172,584x = 71,741,479,716
  5. Step 5: Solve for x
    x = 71,741,479,716/172,584
  6. Step 6: Final answer
    x = 415,690.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.