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Finding the Third Proportional to 154,198.69 and 241,947

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Solution

The third proportional to 154,198.69 and 241,947 is: 379,629.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,198.69 : 241,947 = 241,947 : x
  2. Step 2: Convert to fraction form
    154,198.69/241,947 = 241,947/x
  3. Step 3: Cross multiply
    154,198.69x = 241,947 × 241,947
  4. Step 4: Simplify right side
    154,198.69x = 58,538,350,809
  5. Step 5: Solve for x
    x = 58,538,350,809/154,198.69
  6. Step 6: Final answer
    x = 379,629.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.