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Finding the Third Proportional to 171,355.50 and 267,968.25

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Solution

The third proportional to 171,355.50 and 267,968.25 is: 419,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,355.50 : 267,968.25 = 267,968.25 : x
  2. Step 2: Convert to fraction form
    171,355.50/267,968.25 = 267,968.25/x
  3. Step 3: Cross multiply
    171,355.50x = 267,968.25 × 267,968.25
  4. Step 4: Simplify right side
    171,355.50x = 71,806,983,008.06
  5. Step 5: Solve for x
    x = 71,806,983,008.06/171,355.50
  6. Step 6: Final answer
    x = 419,052.69

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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.