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Finding the Third Proportional to 131,867 and 283,760

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Solution

The third proportional to 131,867 and 283,760 is: 610,613.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,867 : 283,760 = 283,760 : x
  2. Step 2: Convert to fraction form
    131,867/283,760 = 283,760/x
  3. Step 3: Cross multiply
    131,867x = 283,760 × 283,760
  4. Step 4: Simplify right side
    131,867x = 80,519,737,600
  5. Step 5: Solve for x
    x = 80,519,737,600/131,867
  6. Step 6: Final answer
    x = 610,613.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.