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Finding the Third Proportional to 184,200 and 396,737

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Solution

The third proportional to 184,200 and 396,737 is: 854,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,200 : 396,737 = 396,737 : x
  2. Step 2: Convert to fraction form
    184,200/396,737 = 396,737/x
  3. Step 3: Cross multiply
    184,200x = 396,737 × 396,737
  4. Step 4: Simplify right side
    184,200x = 157,400,247,169
  5. Step 5: Solve for x
    x = 157,400,247,169/184,200
  6. Step 6: Final answer
    x = 854,507.31

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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.