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Finding the Third Proportional to 168,975 and 261,551

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Solution

The third proportional to 168,975 and 261,551 is: 404,846.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,975 : 261,551 = 261,551 : x
  2. Step 2: Convert to fraction form
    168,975/261,551 = 261,551/x
  3. Step 3: Cross multiply
    168,975x = 261,551 × 261,551
  4. Step 4: Simplify right side
    168,975x = 68,408,925,601
  5. Step 5: Solve for x
    x = 68,408,925,601/168,975
  6. Step 6: Final answer
    x = 404,846.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.