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Finding the Third Proportional to 184,177 and 396,692

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Solution

The third proportional to 184,177 and 396,692 is: 854,420.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,177 : 396,692 = 396,692 : x
  2. Step 2: Convert to fraction form
    184,177/396,692 = 396,692/x
  3. Step 3: Cross multiply
    184,177x = 396,692 × 396,692
  4. Step 4: Simplify right side
    184,177x = 157,364,542,864
  5. Step 5: Solve for x
    x = 157,364,542,864/184,177
  6. Step 6: Final answer
    x = 854,420.17

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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.