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Finding the Third Proportional to 184,059 and 396,225

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Solution

The third proportional to 184,059 and 396,225 is: 852,956.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,059 : 396,225 = 396,225 : x
  2. Step 2: Convert to fraction form
    184,059/396,225 = 396,225/x
  3. Step 3: Cross multiply
    184,059x = 396,225 × 396,225
  4. Step 4: Simplify right side
    184,059x = 156,994,250,625
  5. Step 5: Solve for x
    x = 156,994,250,625/184,059
  6. Step 6: Final answer
    x = 852,956.12

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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.