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Finding the Third Proportional to 85,611 and 184,398

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Solution

The third proportional to 85,611 and 184,398 is: 397,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,611 : 184,398 = 184,398 : x
  2. Step 2: Convert to fraction form
    85,611/184,398 = 184,398/x
  3. Step 3: Cross multiply
    85,611x = 184,398 × 184,398
  4. Step 4: Simplify right side
    85,611x = 34,002,622,404
  5. Step 5: Solve for x
    x = 34,002,622,404/85,611
  6. Step 6: Final answer
    x = 397,175.86

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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.