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Finding the Third Proportional to 156,999 and 327,279

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Solution

The third proportional to 156,999 and 327,279 is: 682,243.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,999 : 327,279 = 327,279 : x
  2. Step 2: Convert to fraction form
    156,999/327,279 = 327,279/x
  3. Step 3: Cross multiply
    156,999x = 327,279 × 327,279
  4. Step 4: Simplify right side
    156,999x = 107,111,543,841
  5. Step 5: Solve for x
    x = 107,111,543,841/156,999
  6. Step 6: Final answer
    x = 682,243.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.