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Finding the Third Proportional to 86,400 and 188,838

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Solution

The third proportional to 86,400 and 188,838 is: 412,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,400 : 188,838 = 188,838 : x
  2. Step 2: Convert to fraction form
    86,400/188,838 = 188,838/x
  3. Step 3: Cross multiply
    86,400x = 188,838 × 188,838
  4. Step 4: Simplify right side
    86,400x = 35,659,790,244
  5. Step 5: Solve for x
    x = 35,659,790,244/86,400
  6. Step 6: Final answer
    x = 412,729.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.