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Finding the Third Proportional to 150,744 and 331,080

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Solution

The third proportional to 150,744 and 331,080 is: 727,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,744 : 331,080 = 331,080 : x
  2. Step 2: Convert to fraction form
    150,744/331,080 = 331,080/x
  3. Step 3: Cross multiply
    150,744x = 331,080 × 331,080
  4. Step 4: Simplify right side
    150,744x = 109,613,966,400
  5. Step 5: Solve for x
    x = 109,613,966,400/150,744
  6. Step 6: Final answer
    x = 727,153.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.