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Finding the Third Proportional to 184,743 and 397,974

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Solution

The third proportional to 184,743 and 397,974 is: 857,316.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,743 : 397,974 = 397,974 : x
  2. Step 2: Convert to fraction form
    184,743/397,974 = 397,974/x
  3. Step 3: Cross multiply
    184,743x = 397,974 × 397,974
  4. Step 4: Simplify right side
    184,743x = 158,383,304,676
  5. Step 5: Solve for x
    x = 158,383,304,676/184,743
  6. Step 6: Final answer
    x = 857,316.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.