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Finding the Third Proportional to 172,055 and 370,474

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Solution

The third proportional to 172,055 and 370,474 is: 797,715.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,055 : 370,474 = 370,474 : x
  2. Step 2: Convert to fraction form
    172,055/370,474 = 370,474/x
  3. Step 3: Cross multiply
    172,055x = 370,474 × 370,474
  4. Step 4: Simplify right side
    172,055x = 137,250,984,676
  5. Step 5: Solve for x
    x = 137,250,984,676/172,055
  6. Step 6: Final answer
    x = 797,715.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.