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Finding the Third Proportional to 217,908 and 333,198

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Solution

The third proportional to 217,908 and 333,198 is: 509,485.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,908 : 333,198 = 333,198 : x
  2. Step 2: Convert to fraction form
    217,908/333,198 = 333,198/x
  3. Step 3: Cross multiply
    217,908x = 333,198 × 333,198
  4. Step 4: Simplify right side
    217,908x = 111,020,907,204
  5. Step 5: Solve for x
    x = 111,020,907,204/217,908
  6. Step 6: Final answer
    x = 509,485.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.