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Finding the Third Proportional to 222,891.75 and 434,620.69

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Solution

The third proportional to 222,891.75 and 434,620.69 is: 847,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,891.75 : 434,620.69 = 434,620.69 : x
  2. Step 2: Convert to fraction form
    222,891.75/434,620.69 = 434,620.69/x
  3. Step 3: Cross multiply
    222,891.75x = 434,620.69 × 434,620.69
  4. Step 4: Simplify right side
    222,891.75x = 188,895,142,002.97
  5. Step 5: Solve for x
    x = 188,895,142,002.97/222,891.75
  6. Step 6: Final answer
    x = 847,474.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.