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Finding the Third Proportional to 181,204 and 368,422

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Solution

The third proportional to 181,204 and 368,422 is: 749,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,204 : 368,422 = 368,422 : x
  2. Step 2: Convert to fraction form
    181,204/368,422 = 368,422/x
  3. Step 3: Cross multiply
    181,204x = 368,422 × 368,422
  4. Step 4: Simplify right side
    181,204x = 135,734,770,084
  5. Step 5: Solve for x
    x = 135,734,770,084/181,204
  6. Step 6: Final answer
    x = 749,071.60

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.