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Finding the Third Proportional to 184,806 and 397,218

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Solution

The third proportional to 184,806 and 397,218 is: 853,771.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,806 : 397,218 = 397,218 : x
  2. Step 2: Convert to fraction form
    184,806/397,218 = 397,218/x
  3. Step 3: Cross multiply
    184,806x = 397,218 × 397,218
  4. Step 4: Simplify right side
    184,806x = 157,782,139,524
  5. Step 5: Solve for x
    x = 157,782,139,524/184,806
  6. Step 6: Final answer
    x = 853,771.74

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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.