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Finding the Third Proportional to 84,839 and 184,432

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Solution

The third proportional to 84,839 and 184,432 is: 400,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,839 : 184,432 = 184,432 : x
  2. Step 2: Convert to fraction form
    84,839/184,432 = 184,432/x
  3. Step 3: Cross multiply
    84,839x = 184,432 × 184,432
  4. Step 4: Simplify right side
    84,839x = 34,015,162,624
  5. Step 5: Solve for x
    x = 34,015,162,624/84,839
  6. Step 6: Final answer
    x = 400,937.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.