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Finding the Third Proportional to 171,804 and 267,182

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Solution

The third proportional to 171,804 and 267,182 is: 415,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,804 : 267,182 = 267,182 : x
  2. Step 2: Convert to fraction form
    171,804/267,182 = 267,182/x
  3. Step 3: Cross multiply
    171,804x = 267,182 × 267,182
  4. Step 4: Simplify right side
    171,804x = 71,386,221,124
  5. Step 5: Solve for x
    x = 71,386,221,124/171,804
  6. Step 6: Final answer
    x = 415,509.66

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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.