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Finding the Third Proportional to 143,340 and 222,694

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Solution

The third proportional to 143,340 and 222,694 is: 345,978.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,340 : 222,694 = 222,694 : x
  2. Step 2: Convert to fraction form
    143,340/222,694 = 222,694/x
  3. Step 3: Cross multiply
    143,340x = 222,694 × 222,694
  4. Step 4: Simplify right side
    143,340x = 49,592,617,636
  5. Step 5: Solve for x
    x = 49,592,617,636/143,340
  6. Step 6: Final answer
    x = 345,978.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.