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Finding the Third Proportional to 181,569 and 398,976

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Solution

The third proportional to 181,569 and 398,976 is: 876,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,569 : 398,976 = 398,976 : x
  2. Step 2: Convert to fraction form
    181,569/398,976 = 398,976/x
  3. Step 3: Cross multiply
    181,569x = 398,976 × 398,976
  4. Step 4: Simplify right side
    181,569x = 159,181,848,576
  5. Step 5: Solve for x
    x = 159,181,848,576/181,569
  6. Step 6: Final answer
    x = 876,701.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.