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Finding the Third Proportional to 85,059 and 198,675

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Solution

The third proportional to 85,059 and 198,675 is: 464,051.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,059 : 198,675 = 198,675 : x
  2. Step 2: Convert to fraction form
    85,059/198,675 = 198,675/x
  3. Step 3: Cross multiply
    85,059x = 198,675 × 198,675
  4. Step 4: Simplify right side
    85,059x = 39,471,755,625
  5. Step 5: Solve for x
    x = 39,471,755,625/85,059
  6. Step 6: Final answer
    x = 464,051.49

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.