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Finding the Third Proportional to 184,296 and 394,800

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Solution

The third proportional to 184,296 and 394,800 is: 845,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,296 : 394,800 = 394,800 : x
  2. Step 2: Convert to fraction form
    184,296/394,800 = 394,800/x
  3. Step 3: Cross multiply
    184,296x = 394,800 × 394,800
  4. Step 4: Simplify right side
    184,296x = 155,867,040,000
  5. Step 5: Solve for x
    x = 155,867,040,000/184,296
  6. Step 6: Final answer
    x = 845,742.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.