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Finding the Third Proportional to 85,884 and 184,485

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Solution

The third proportional to 85,884 and 184,485 is: 396,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,884 : 184,485 = 184,485 : x
  2. Step 2: Convert to fraction form
    85,884/184,485 = 184,485/x
  3. Step 3: Cross multiply
    85,884x = 184,485 × 184,485
  4. Step 4: Simplify right side
    85,884x = 34,034,715,225
  5. Step 5: Solve for x
    x = 34,034,715,225/85,884
  6. Step 6: Final answer
    x = 396,287.03

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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.