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Finding the Third Proportional to 84,188 and 184,980

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Solution

The third proportional to 84,188 and 184,980 is: 406,442.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,188 : 184,980 = 184,980 : x
  2. Step 2: Convert to fraction form
    84,188/184,980 = 184,980/x
  3. Step 3: Cross multiply
    84,188x = 184,980 × 184,980
  4. Step 4: Simplify right side
    84,188x = 34,217,600,400
  5. Step 5: Solve for x
    x = 34,217,600,400/84,188
  6. Step 6: Final answer
    x = 406,442.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.