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Finding the Third Proportional to 222,758.50 and 321,847.75

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Solution

The third proportional to 222,758.50 and 321,847.75 is: 465,014.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,758.50 : 321,847.75 = 321,847.75 : x
  2. Step 2: Convert to fraction form
    222,758.50/321,847.75 = 321,847.75/x
  3. Step 3: Cross multiply
    222,758.50x = 321,847.75 × 321,847.75
  4. Step 4: Simplify right side
    222,758.50x = 103,585,974,180.06
  5. Step 5: Solve for x
    x = 103,585,974,180.06/222,758.50
  6. Step 6: Final answer
    x = 465,014.69

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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.