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Finding the Third Proportional to 222,800 and 321,912

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Solution

The third proportional to 222,800 and 321,912 is: 465,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,800 : 321,912 = 321,912 : x
  2. Step 2: Convert to fraction form
    222,800/321,912 = 321,912/x
  3. Step 3: Cross multiply
    222,800x = 321,912 × 321,912
  4. Step 4: Simplify right side
    222,800x = 103,627,335,744
  5. Step 5: Solve for x
    x = 103,627,335,744/222,800
  6. Step 6: Final answer
    x = 465,113.72

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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.