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Finding the Third Proportional to 170,826 and 267,204

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Solution

The third proportional to 170,826 and 267,204 is: 417,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,826 : 267,204 = 267,204 : x
  2. Step 2: Convert to fraction form
    170,826/267,204 = 267,204/x
  3. Step 3: Cross multiply
    170,826x = 267,204 × 267,204
  4. Step 4: Simplify right side
    170,826x = 71,397,977,616
  5. Step 5: Solve for x
    x = 71,397,977,616/170,826
  6. Step 6: Final answer
    x = 417,957.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.