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Finding the Third Proportional to 154,544 and 338,616

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Solution

The third proportional to 154,544 and 338,616 is: 741,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,544 : 338,616 = 338,616 : x
  2. Step 2: Convert to fraction form
    154,544/338,616 = 338,616/x
  3. Step 3: Cross multiply
    154,544x = 338,616 × 338,616
  4. Step 4: Simplify right side
    154,544x = 114,660,795,456
  5. Step 5: Solve for x
    x = 114,660,795,456/154,544
  6. Step 6: Final answer
    x = 741,929.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.