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Finding the Third Proportional to 171,358 and 267,971

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Solution

The third proportional to 171,358 and 267,971 is: 419,055.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,358 : 267,971 = 267,971 : x
  2. Step 2: Convert to fraction form
    171,358/267,971 = 267,971/x
  3. Step 3: Cross multiply
    171,358x = 267,971 × 267,971
  4. Step 4: Simplify right side
    171,358x = 71,808,456,841
  5. Step 5: Solve for x
    x = 71,808,456,841/171,358
  6. Step 6: Final answer
    x = 419,055.18

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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.