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Finding the Third Proportional to 168,474 and 366,474

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Solution

The third proportional to 168,474 and 366,474 is: 797,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,474 : 366,474 = 366,474 : x
  2. Step 2: Convert to fraction form
    168,474/366,474 = 366,474/x
  3. Step 3: Cross multiply
    168,474x = 366,474 × 366,474
  4. Step 4: Simplify right side
    168,474x = 134,303,192,676
  5. Step 5: Solve for x
    x = 134,303,192,676/168,474
  6. Step 6: Final answer
    x = 797,174.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.