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Finding the Third Proportional to 192,961 and 298,193

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Solution

The third proportional to 192,961 and 298,193 is: 460,813.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,961 : 298,193 = 298,193 : x
  2. Step 2: Convert to fraction form
    192,961/298,193 = 298,193/x
  3. Step 3: Cross multiply
    192,961x = 298,193 × 298,193
  4. Step 4: Simplify right side
    192,961x = 88,919,065,249
  5. Step 5: Solve for x
    x = 88,919,065,249/192,961
  6. Step 6: Final answer
    x = 460,813.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.