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Finding the Third Proportional to 151,910 and 327,193

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Solution

The third proportional to 151,910 and 327,193 is: 704,728.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,910 : 327,193 = 327,193 : x
  2. Step 2: Convert to fraction form
    151,910/327,193 = 327,193/x
  3. Step 3: Cross multiply
    151,910x = 327,193 × 327,193
  4. Step 4: Simplify right side
    151,910x = 107,055,259,249
  5. Step 5: Solve for x
    x = 107,055,259,249/151,910
  6. Step 6: Final answer
    x = 704,728.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.