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Finding the Third Proportional to 171,795 and 267,168

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Solution

The third proportional to 171,795 and 267,168 is: 415,487.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,795 : 267,168 = 267,168 : x
  2. Step 2: Convert to fraction form
    171,795/267,168 = 267,168/x
  3. Step 3: Cross multiply
    171,795x = 267,168 × 267,168
  4. Step 4: Simplify right side
    171,795x = 71,378,740,224
  5. Step 5: Solve for x
    x = 71,378,740,224/171,795
  6. Step 6: Final answer
    x = 415,487.88

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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.