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Finding the Third Proportional to 85,609 and 184,393

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Solution

The third proportional to 85,609 and 184,393 is: 397,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,609 : 184,393 = 184,393 : x
  2. Step 2: Convert to fraction form
    85,609/184,393 = 184,393/x
  3. Step 3: Cross multiply
    85,609x = 184,393 × 184,393
  4. Step 4: Simplify right side
    85,609x = 34,000,778,449
  5. Step 5: Solve for x
    x = 34,000,778,449/85,609
  6. Step 6: Final answer
    x = 397,163.60

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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.