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Finding the Third Proportional to 150,039 and 325,839

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Solution

The third proportional to 150,039 and 325,839 is: 707,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,039 : 325,839 = 325,839 : x
  2. Step 2: Convert to fraction form
    150,039/325,839 = 325,839/x
  3. Step 3: Cross multiply
    150,039x = 325,839 × 325,839
  4. Step 4: Simplify right side
    150,039x = 106,171,053,921
  5. Step 5: Solve for x
    x = 106,171,053,921/150,039
  6. Step 6: Final answer
    x = 707,623.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.