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Finding the Third Proportional to 85,367 and 184,412

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Solution

The third proportional to 85,367 and 184,412 is: 398,371.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,367 : 184,412 = 184,412 : x
  2. Step 2: Convert to fraction form
    85,367/184,412 = 184,412/x
  3. Step 3: Cross multiply
    85,367x = 184,412 × 184,412
  4. Step 4: Simplify right side
    85,367x = 34,007,785,744
  5. Step 5: Solve for x
    x = 34,007,785,744/85,367
  6. Step 6: Final answer
    x = 398,371.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.