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Finding the Third Proportional to 84,418 and 184,387

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Solution

The third proportional to 84,418 and 184,387 is: 402,740.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,418 : 184,387 = 184,387 : x
  2. Step 2: Convert to fraction form
    84,418/184,387 = 184,387/x
  3. Step 3: Cross multiply
    84,418x = 184,387 × 184,387
  4. Step 4: Simplify right side
    84,418x = 33,998,565,769
  5. Step 5: Solve for x
    x = 33,998,565,769/84,418
  6. Step 6: Final answer
    x = 402,740.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.