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Finding the Third Proportional to 218,902 and 464,162

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Solution

The third proportional to 218,902 and 464,162 is: 984,213.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,902 : 464,162 = 464,162 : x
  2. Step 2: Convert to fraction form
    218,902/464,162 = 464,162/x
  3. Step 3: Cross multiply
    218,902x = 464,162 × 464,162
  4. Step 4: Simplify right side
    218,902x = 215,446,362,244
  5. Step 5: Solve for x
    x = 215,446,362,244/218,902
  6. Step 6: Final answer
    x = 984,213.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.