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Finding the Third Proportional to 171,368 and 267,992

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Solution

The third proportional to 171,368 and 267,992 is: 419,096.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,368 : 267,992 = 267,992 : x
  2. Step 2: Convert to fraction form
    171,368/267,992 = 267,992/x
  3. Step 3: Cross multiply
    171,368x = 267,992 × 267,992
  4. Step 4: Simplify right side
    171,368x = 71,819,712,064
  5. Step 5: Solve for x
    x = 71,819,712,064/171,368
  6. Step 6: Final answer
    x = 419,096.40

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