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Finding the Third Proportional to 140,114 and 327,749

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Solution

The third proportional to 140,114 and 327,749 is: 766,657.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,114 : 327,749 = 327,749 : x
  2. Step 2: Convert to fraction form
    140,114/327,749 = 327,749/x
  3. Step 3: Cross multiply
    140,114x = 327,749 × 327,749
  4. Step 4: Simplify right side
    140,114x = 107,419,407,001
  5. Step 5: Solve for x
    x = 107,419,407,001/140,114
  6. Step 6: Final answer
    x = 766,657.20

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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.