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Finding the Third Proportional to 159,286 and 333,908

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Solution

The third proportional to 159,286 and 333,908 is: 699,964.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,286 : 333,908 = 333,908 : x
  2. Step 2: Convert to fraction form
    159,286/333,908 = 333,908/x
  3. Step 3: Cross multiply
    159,286x = 333,908 × 333,908
  4. Step 4: Simplify right side
    159,286x = 111,494,552,464
  5. Step 5: Solve for x
    x = 111,494,552,464/159,286
  6. Step 6: Final answer
    x = 699,964.54

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.