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Finding the Third Proportional to 236,891.50 and 518,067.50

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Solution

The third proportional to 236,891.50 and 518,067.50 is: 1,132,982.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,891.50 : 518,067.50 = 518,067.50 : x
  2. Step 2: Convert to fraction form
    236,891.50/518,067.50 = 518,067.50/x
  3. Step 3: Cross multiply
    236,891.50x = 518,067.50 × 518,067.50
  4. Step 4: Simplify right side
    236,891.50x = 268,393,934,556.25
  5. Step 5: Solve for x
    x = 268,393,934,556.25/236,891.50
  6. Step 6: Final answer
    x = 1,132,982.54

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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.