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Finding the Third Proportional to 86,317 and 188,325

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Solution

The third proportional to 86,317 and 188,325 is: 410,884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,317 : 188,325 = 188,325 : x
  2. Step 2: Convert to fraction form
    86,317/188,325 = 188,325/x
  3. Step 3: Cross multiply
    86,317x = 188,325 × 188,325
  4. Step 4: Simplify right side
    86,317x = 35,466,305,625
  5. Step 5: Solve for x
    x = 35,466,305,625/86,317
  6. Step 6: Final answer
    x = 410,884.36

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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.