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Finding the Third Proportional to 222,757.75 and 321,846.50

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Solution

The third proportional to 222,757.75 and 321,846.50 is: 465,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,757.75 : 321,846.50 = 321,846.50 : x
  2. Step 2: Convert to fraction form
    222,757.75/321,846.50 = 321,846.50/x
  3. Step 3: Cross multiply
    222,757.75x = 321,846.50 × 321,846.50
  4. Step 4: Simplify right side
    222,757.75x = 103,585,169,562.25
  5. Step 5: Solve for x
    x = 103,585,169,562.25/222,757.75
  6. Step 6: Final answer
    x = 465,012.64

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.