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Finding the Third Proportional to 205,362 and 274,698

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Solution

The third proportional to 205,362 and 274,698 is: 367,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,362 : 274,698 = 274,698 : x
  2. Step 2: Convert to fraction form
    205,362/274,698 = 274,698/x
  3. Step 3: Cross multiply
    205,362x = 274,698 × 274,698
  4. Step 4: Simplify right side
    205,362x = 75,458,991,204
  5. Step 5: Solve for x
    x = 75,458,991,204/205,362
  6. Step 6: Final answer
    x = 367,443.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.