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Finding the Third Proportional to 222,123 and 324,850.50

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Solution

The third proportional to 222,123 and 324,850.50 is: 475,087.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,123 : 324,850.50 = 324,850.50 : x
  2. Step 2: Convert to fraction form
    222,123/324,850.50 = 324,850.50/x
  3. Step 3: Cross multiply
    222,123x = 324,850.50 × 324,850.50
  4. Step 4: Simplify right side
    222,123x = 105,527,847,350.25
  5. Step 5: Solve for x
    x = 105,527,847,350.25/222,123
  6. Step 6: Final answer
    x = 475,087.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.