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Finding the Third Proportional to 225,843 and 338,796

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Solution

The third proportional to 225,843 and 338,796 is: 508,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,843 : 338,796 = 338,796 : x
  2. Step 2: Convert to fraction form
    225,843/338,796 = 338,796/x
  3. Step 3: Cross multiply
    225,843x = 338,796 × 338,796
  4. Step 4: Simplify right side
    225,843x = 114,782,729,616
  5. Step 5: Solve for x
    x = 114,782,729,616/225,843
  6. Step 6: Final answer
    x = 508,241.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.