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Finding the Third Proportional to 85,432 and 184,006

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Solution

The third proportional to 85,432 and 184,006 is: 396,317.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,432 : 184,006 = 184,006 : x
  2. Step 2: Convert to fraction form
    85,432/184,006 = 184,006/x
  3. Step 3: Cross multiply
    85,432x = 184,006 × 184,006
  4. Step 4: Simplify right side
    85,432x = 33,858,208,036
  5. Step 5: Solve for x
    x = 33,858,208,036/85,432
  6. Step 6: Final answer
    x = 396,317.63

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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.