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Finding the Third Proportional to 159,684 and 222,026

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Solution

The third proportional to 159,684 and 222,026 is: 308,706.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,684 : 222,026 = 222,026 : x
  2. Step 2: Convert to fraction form
    159,684/222,026 = 222,026/x
  3. Step 3: Cross multiply
    159,684x = 222,026 × 222,026
  4. Step 4: Simplify right side
    159,684x = 49,295,544,676
  5. Step 5: Solve for x
    x = 49,295,544,676/159,684
  6. Step 6: Final answer
    x = 308,706.85

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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.