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Finding the Third Proportional to 150,890 and 330,796

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Solution

The third proportional to 150,890 and 330,796 is: 725,203.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,890 : 330,796 = 330,796 : x
  2. Step 2: Convert to fraction form
    150,890/330,796 = 330,796/x
  3. Step 3: Cross multiply
    150,890x = 330,796 × 330,796
  4. Step 4: Simplify right side
    150,890x = 109,425,993,616
  5. Step 5: Solve for x
    x = 109,425,993,616/150,890
  6. Step 6: Final answer
    x = 725,203.75

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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.