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Finding the Third Proportional to 157,048 and 345,198

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Solution

The third proportional to 157,048 and 345,198 is: 758,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,048 : 345,198 = 345,198 : x
  2. Step 2: Convert to fraction form
    157,048/345,198 = 345,198/x
  3. Step 3: Cross multiply
    157,048x = 345,198 × 345,198
  4. Step 4: Simplify right side
    157,048x = 119,161,659,204
  5. Step 5: Solve for x
    x = 119,161,659,204/157,048
  6. Step 6: Final answer
    x = 758,759.48

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.