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Finding the Third Proportional to 184,024 and 396,226

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Solution

The third proportional to 184,024 and 396,226 is: 853,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,024 : 396,226 = 396,226 : x
  2. Step 2: Convert to fraction form
    184,024/396,226 = 396,226/x
  3. Step 3: Cross multiply
    184,024x = 396,226 × 396,226
  4. Step 4: Simplify right side
    184,024x = 156,995,043,076
  5. Step 5: Solve for x
    x = 156,995,043,076/184,024
  6. Step 6: Final answer
    x = 853,122.65

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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.