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Finding the Third Proportional to 172,057.50 and 377,163

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Solution

The third proportional to 172,057.50 and 377,163 is: 826,769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,057.50 : 377,163 = 377,163 : x
  2. Step 2: Convert to fraction form
    172,057.50/377,163 = 377,163/x
  3. Step 3: Cross multiply
    172,057.50x = 377,163 × 377,163
  4. Step 4: Simplify right side
    172,057.50x = 142,251,928,569
  5. Step 5: Solve for x
    x = 142,251,928,569/172,057.50
  6. Step 6: Final answer
    x = 826,769.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.