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Finding the Third Proportional to 146,198 and 220,377

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Solution

The third proportional to 146,198 and 220,377 is: 332,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,198 : 220,377 = 220,377 : x
  2. Step 2: Convert to fraction form
    146,198/220,377 = 220,377/x
  3. Step 3: Cross multiply
    146,198x = 220,377 × 220,377
  4. Step 4: Simplify right side
    146,198x = 48,566,022,129
  5. Step 5: Solve for x
    x = 48,566,022,129/146,198
  6. Step 6: Final answer
    x = 332,193.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.