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Finding the Third Proportional to 154,704 and 327,711

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Solution

The third proportional to 154,704 and 327,711 is: 694,193.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,704 : 327,711 = 327,711 : x
  2. Step 2: Convert to fraction form
    154,704/327,711 = 327,711/x
  3. Step 3: Cross multiply
    154,704x = 327,711 × 327,711
  4. Step 4: Simplify right side
    154,704x = 107,394,499,521
  5. Step 5: Solve for x
    x = 107,394,499,521/154,704
  6. Step 6: Final answer
    x = 694,193.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.