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Finding the Third Proportional to 187,962 and 281,883

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Solution

The third proportional to 187,962 and 281,883 is: 422,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,962 : 281,883 = 281,883 : x
  2. Step 2: Convert to fraction form
    187,962/281,883 = 281,883/x
  3. Step 3: Cross multiply
    187,962x = 281,883 × 281,883
  4. Step 4: Simplify right side
    187,962x = 79,458,025,689
  5. Step 5: Solve for x
    x = 79,458,025,689/187,962
  6. Step 6: Final answer
    x = 422,734.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.