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Finding the Third Proportional to 191,944.50 and 396,183

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Solution

The third proportional to 191,944.50 and 396,183 is: 817,741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,944.50 : 396,183 = 396,183 : x
  2. Step 2: Convert to fraction form
    191,944.50/396,183 = 396,183/x
  3. Step 3: Cross multiply
    191,944.50x = 396,183 × 396,183
  4. Step 4: Simplify right side
    191,944.50x = 156,960,969,489
  5. Step 5: Solve for x
    x = 156,960,969,489/191,944.50
  6. Step 6: Final answer
    x = 817,741.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.