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Finding the Third Proportional to 223,579.13 and 338,257.69

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Solution

The third proportional to 223,579.13 and 338,257.69 is: 511,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,579.13 : 338,257.69 = 338,257.69 : x
  2. Step 2: Convert to fraction form
    223,579.13/338,257.69 = 338,257.69/x
  3. Step 3: Cross multiply
    223,579.13x = 338,257.69 × 338,257.69
  4. Step 4: Simplify right side
    223,579.13x = 114,418,263,152.85
  5. Step 5: Solve for x
    x = 114,418,263,152.85/223,579.13
  6. Step 6: Final answer
    x = 511,757.36

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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.