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Finding the Third Proportional to 185,832 and 397,896

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Solution

The third proportional to 185,832 and 397,896 is: 851,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,832 : 397,896 = 397,896 : x
  2. Step 2: Convert to fraction form
    185,832/397,896 = 397,896/x
  3. Step 3: Cross multiply
    185,832x = 397,896 × 397,896
  4. Step 4: Simplify right side
    185,832x = 158,321,226,816
  5. Step 5: Solve for x
    x = 158,321,226,816/185,832
  6. Step 6: Final answer
    x = 851,958.90

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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.