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Finding the Third Proportional to 175,718 and 267,713

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Solution

The third proportional to 175,718 and 267,713 is: 407,870.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,718 : 267,713 = 267,713 : x
  2. Step 2: Convert to fraction form
    175,718/267,713 = 267,713/x
  3. Step 3: Cross multiply
    175,718x = 267,713 × 267,713
  4. Step 4: Simplify right side
    175,718x = 71,670,250,369
  5. Step 5: Solve for x
    x = 71,670,250,369/175,718
  6. Step 6: Final answer
    x = 407,870.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.