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Finding the Third Proportional to 184,467 and 396,957

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Solution

The third proportional to 184,467 and 396,957 is: 854,217.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,467 : 396,957 = 396,957 : x
  2. Step 2: Convert to fraction form
    184,467/396,957 = 396,957/x
  3. Step 3: Cross multiply
    184,467x = 396,957 × 396,957
  4. Step 4: Simplify right side
    184,467x = 157,574,859,849
  5. Step 5: Solve for x
    x = 157,574,859,849/184,467
  6. Step 6: Final answer
    x = 854,217.07

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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.