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Finding the Third Proportional to 84,828 and 181,320

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Solution

The third proportional to 84,828 and 181,320 is: 387,571.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,828 : 181,320 = 181,320 : x
  2. Step 2: Convert to fraction form
    84,828/181,320 = 181,320/x
  3. Step 3: Cross multiply
    84,828x = 181,320 × 181,320
  4. Step 4: Simplify right side
    84,828x = 32,876,942,400
  5. Step 5: Solve for x
    x = 32,876,942,400/84,828
  6. Step 6: Final answer
    x = 387,571.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.