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Finding the Third Proportional to 223,554 and 338,218

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Solution

The third proportional to 223,554 and 338,218 is: 511,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,554 : 338,218 = 338,218 : x
  2. Step 2: Convert to fraction form
    223,554/338,218 = 338,218/x
  3. Step 3: Cross multiply
    223,554x = 338,218 × 338,218
  4. Step 4: Simplify right side
    223,554x = 114,391,415,524
  5. Step 5: Solve for x
    x = 114,391,415,524/223,554
  6. Step 6: Final answer
    x = 511,694.78

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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.