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Finding the Third Proportional to 131,443 and 287,761

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Solution

The third proportional to 131,443 and 287,761 is: 629,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,443 : 287,761 = 287,761 : x
  2. Step 2: Convert to fraction form
    131,443/287,761 = 287,761/x
  3. Step 3: Cross multiply
    131,443x = 287,761 × 287,761
  4. Step 4: Simplify right side
    131,443x = 82,806,393,121
  5. Step 5: Solve for x
    x = 82,806,393,121/131,443
  6. Step 6: Final answer
    x = 629,979.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.