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Finding the Third Proportional to 220,058 and 332,193

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Solution

The third proportional to 220,058 and 332,193 is: 501,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,058 : 332,193 = 332,193 : x
  2. Step 2: Convert to fraction form
    220,058/332,193 = 332,193/x
  3. Step 3: Cross multiply
    220,058x = 332,193 × 332,193
  4. Step 4: Simplify right side
    220,058x = 110,352,189,249
  5. Step 5: Solve for x
    x = 110,352,189,249/220,058
  6. Step 6: Final answer
    x = 501,468.65

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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.