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Finding the Third Proportional to 182,576 and 398,366

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Solution

The third proportional to 182,576 and 398,366 is: 869,202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,576 : 398,366 = 398,366 : x
  2. Step 2: Convert to fraction form
    182,576/398,366 = 398,366/x
  3. Step 3: Cross multiply
    182,576x = 398,366 × 398,366
  4. Step 4: Simplify right side
    182,576x = 158,695,469,956
  5. Step 5: Solve for x
    x = 158,695,469,956/182,576
  6. Step 6: Final answer
    x = 869,202.25

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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.