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Finding the Third Proportional to 184,832 and 397,268

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Solution

The third proportional to 184,832 and 397,268 is: 853,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,832 : 397,268 = 397,268 : x
  2. Step 2: Convert to fraction form
    184,832/397,268 = 397,268/x
  3. Step 3: Cross multiply
    184,832x = 397,268 × 397,268
  4. Step 4: Simplify right side
    184,832x = 157,821,863,824
  5. Step 5: Solve for x
    x = 157,821,863,824/184,832
  6. Step 6: Final answer
    x = 853,866.56

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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.