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Finding the Third Proportional to 222,117 and 324,845

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Solution

The third proportional to 222,117 and 324,845 is: 475,084.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,117 : 324,845 = 324,845 : x
  2. Step 2: Convert to fraction form
    222,117/324,845 = 324,845/x
  3. Step 3: Cross multiply
    222,117x = 324,845 × 324,845
  4. Step 4: Simplify right side
    222,117x = 105,524,274,025
  5. Step 5: Solve for x
    x = 105,524,274,025/222,117
  6. Step 6: Final answer
    x = 475,084.19

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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.