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Finding the Third Proportional to 84,180 and 184,965

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Solution

The third proportional to 84,180 and 184,965 is: 406,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,180 : 184,965 = 184,965 : x
  2. Step 2: Convert to fraction form
    84,180/184,965 = 184,965/x
  3. Step 3: Cross multiply
    84,180x = 184,965 × 184,965
  4. Step 4: Simplify right side
    84,180x = 34,212,051,225
  5. Step 5: Solve for x
    x = 34,212,051,225/84,180
  6. Step 6: Final answer
    x = 406,415.43

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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.