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Finding the Third Proportional to 222,120 and 324,846

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Solution

The third proportional to 222,120 and 324,846 is: 475,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,120 : 324,846 = 324,846 : x
  2. Step 2: Convert to fraction form
    222,120/324,846 = 324,846/x
  3. Step 3: Cross multiply
    222,120x = 324,846 × 324,846
  4. Step 4: Simplify right side
    222,120x = 105,524,923,716
  5. Step 5: Solve for x
    x = 105,524,923,716/222,120
  6. Step 6: Final answer
    x = 475,080.69

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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.