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Finding the Third Proportional to 159,668 and 222,006

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Solution

The third proportional to 159,668 and 222,006 is: 308,682.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,668 : 222,006 = 222,006 : x
  2. Step 2: Convert to fraction form
    159,668/222,006 = 222,006/x
  3. Step 3: Cross multiply
    159,668x = 222,006 × 222,006
  4. Step 4: Simplify right side
    159,668x = 49,286,664,036
  5. Step 5: Solve for x
    x = 49,286,664,036/159,668
  6. Step 6: Final answer
    x = 308,682.17

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.