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Finding the Third Proportional to 159,678 and 222,018

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Solution

The third proportional to 159,678 and 222,018 is: 308,696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,678 : 222,018 = 222,018 : x
  2. Step 2: Convert to fraction form
    159,678/222,018 = 222,018/x
  3. Step 3: Cross multiply
    159,678x = 222,018 × 222,018
  4. Step 4: Simplify right side
    159,678x = 49,291,992,324
  5. Step 5: Solve for x
    x = 49,291,992,324/159,678
  6. Step 6: Final answer
    x = 308,696.20

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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.