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Finding the Third Proportional to 204,867 and 417,859.31

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Solution

The third proportional to 204,867 and 417,859.31 is: 852,291.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,867 : 417,859.31 = 417,859.31 : x
  2. Step 2: Convert to fraction form
    204,867/417,859.31 = 417,859.31/x
  3. Step 3: Cross multiply
    204,867x = 417,859.31 × 417,859.31
  4. Step 4: Simplify right side
    204,867x = 174,606,405,042.97
  5. Step 5: Solve for x
    x = 174,606,405,042.97/204,867
  6. Step 6: Final answer
    x = 852,291.51

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.