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Finding the Third Proportional to 184,755 and 397,134

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Solution

The third proportional to 184,755 and 397,134 is: 853,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,755 : 397,134 = 397,134 : x
  2. Step 2: Convert to fraction form
    184,755/397,134 = 397,134/x
  3. Step 3: Cross multiply
    184,755x = 397,134 × 397,134
  4. Step 4: Simplify right side
    184,755x = 157,715,413,956
  5. Step 5: Solve for x
    x = 157,715,413,956/184,755
  6. Step 6: Final answer
    x = 853,646.26

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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.