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Finding the Third Proportional to 181,539 and 396,846

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Solution

The third proportional to 181,539 and 396,846 is: 867,509.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,539 : 396,846 = 396,846 : x
  2. Step 2: Convert to fraction form
    181,539/396,846 = 396,846/x
  3. Step 3: Cross multiply
    181,539x = 396,846 × 396,846
  4. Step 4: Simplify right side
    181,539x = 157,486,747,716
  5. Step 5: Solve for x
    x = 157,486,747,716/181,539
  6. Step 6: Final answer
    x = 867,509.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.