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Finding the Third Proportional to 150,388.31 and 334,398.38

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Solution

The third proportional to 150,388.31 and 334,398.38 is: 743,556.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,388.31 : 334,398.38 = 334,398.38 : x
  2. Step 2: Convert to fraction form
    150,388.31/334,398.38 = 334,398.38/x
  3. Step 3: Cross multiply
    150,388.31x = 334,398.38 × 334,398.38
  4. Step 4: Simplify right side
    150,388.31x = 111,822,273,202.64
  5. Step 5: Solve for x
    x = 111,822,273,202.64/150,388.31
  6. Step 6: Final answer
    x = 743,556.94

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.