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Finding the Third Proportional to 184,035 and 397,067

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Solution

The third proportional to 184,035 and 397,067 is: 856,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,035 : 397,067 = 397,067 : x
  2. Step 2: Convert to fraction form
    184,035/397,067 = 397,067/x
  3. Step 3: Cross multiply
    184,035x = 397,067 × 397,067
  4. Step 4: Simplify right side
    184,035x = 157,662,202,489
  5. Step 5: Solve for x
    x = 157,662,202,489/184,035
  6. Step 6: Final answer
    x = 856,696.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.