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Finding the Third Proportional to 168,523.50 and 356,062.50

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Solution

The third proportional to 168,523.50 and 356,062.50 is: 752,301.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,523.50 : 356,062.50 = 356,062.50 : x
  2. Step 2: Convert to fraction form
    168,523.50/356,062.50 = 356,062.50/x
  3. Step 3: Cross multiply
    168,523.50x = 356,062.50 × 356,062.50
  4. Step 4: Simplify right side
    168,523.50x = 126,780,503,906.25
  5. Step 5: Solve for x
    x = 126,780,503,906.25/168,523.50
  6. Step 6: Final answer
    x = 752,301.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.