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Finding the Third Proportional to 223,536 and 338,193

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Solution

The third proportional to 223,536 and 338,193 is: 511,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,536 : 338,193 = 338,193 : x
  2. Step 2: Convert to fraction form
    223,536/338,193 = 338,193/x
  3. Step 3: Cross multiply
    223,536x = 338,193 × 338,193
  4. Step 4: Simplify right side
    223,536x = 114,374,505,249
  5. Step 5: Solve for x
    x = 114,374,505,249/223,536
  6. Step 6: Final answer
    x = 511,660.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.