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Finding the Third Proportional to 184,661.44 and 396,908.44

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Solution

The third proportional to 184,661.44 and 396,908.44 is: 853,108.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,661.44 : 396,908.44 = 396,908.44 : x
  2. Step 2: Convert to fraction form
    184,661.44/396,908.44 = 396,908.44/x
  3. Step 3: Cross multiply
    184,661.44x = 396,908.44 × 396,908.44
  4. Step 4: Simplify right side
    184,661.44x = 157,536,307,758.69
  5. Step 5: Solve for x
    x = 157,536,307,758.69/184,661.44
  6. Step 6: Final answer
    x = 853,108.86

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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.