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Finding the Third Proportional to 85,092 and 198,738

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Solution

The third proportional to 85,092 and 198,738 is: 464,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092 : 198,738 = 198,738 : x
  2. Step 2: Convert to fraction form
    85,092/198,738 = 198,738/x
  3. Step 3: Cross multiply
    85,092x = 198,738 × 198,738
  4. Step 4: Simplify right side
    85,092x = 39,496,792,644
  5. Step 5: Solve for x
    x = 39,496,792,644/85,092
  6. Step 6: Final answer
    x = 464,165.76

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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.