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Finding the Third Proportional to 159,022 and 222,890

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Solution

The third proportional to 159,022 and 222,890 is: 312,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,022 : 222,890 = 222,890 : x
  2. Step 2: Convert to fraction form
    159,022/222,890 = 222,890/x
  3. Step 3: Cross multiply
    159,022x = 222,890 × 222,890
  4. Step 4: Simplify right side
    159,022x = 49,679,952,100
  5. Step 5: Solve for x
    x = 49,679,952,100/159,022
  6. Step 6: Final answer
    x = 312,409.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.