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Finding the Third Proportional to 170,692 and 267,774

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Solution

The third proportional to 170,692 and 267,774 is: 420,071.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,692 : 267,774 = 267,774 : x
  2. Step 2: Convert to fraction form
    170,692/267,774 = 267,774/x
  3. Step 3: Cross multiply
    170,692x = 267,774 × 267,774
  4. Step 4: Simplify right side
    170,692x = 71,702,915,076
  5. Step 5: Solve for x
    x = 71,702,915,076/170,692
  6. Step 6: Final answer
    x = 420,071.91

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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.