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Finding the Third Proportional to 223,539.75 and 338,198.63

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Solution

The third proportional to 223,539.75 and 338,198.63 is: 511,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,539.75 : 338,198.63 = 338,198.63 : x
  2. Step 2: Convert to fraction form
    223,539.75/338,198.63 = 338,198.63/x
  3. Step 3: Cross multiply
    223,539.75x = 338,198.63 × 338,198.63
  4. Step 4: Simplify right side
    223,539.75x = 114,378,309,951.89
  5. Step 5: Solve for x
    x = 114,378,309,951.89/223,539.75
  6. Step 6: Final answer
    x = 511,668.77

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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.