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Finding the Third Proportional to 140,118 and 327,759

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Solution

The third proportional to 140,118 and 327,759 is: 766,682.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,118 : 327,759 = 327,759 : x
  2. Step 2: Convert to fraction form
    140,118/327,759 = 327,759/x
  3. Step 3: Cross multiply
    140,118x = 327,759 × 327,759
  4. Step 4: Simplify right side
    140,118x = 107,425,962,081
  5. Step 5: Solve for x
    x = 107,425,962,081/140,118
  6. Step 6: Final answer
    x = 766,682.10

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.