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Finding the Third Proportional to 84,589 and 180,151

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Solution

The third proportional to 84,589 and 180,151 is: 383,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,589 : 180,151 = 180,151 : x
  2. Step 2: Convert to fraction form
    84,589/180,151 = 180,151/x
  3. Step 3: Cross multiply
    84,589x = 180,151 × 180,151
  4. Step 4: Simplify right side
    84,589x = 32,454,382,801
  5. Step 5: Solve for x
    x = 32,454,382,801/84,589
  6. Step 6: Final answer
    x = 383,671.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.