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Finding the Third Proportional to 150,720.75 and 331,026.75

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Solution

The third proportional to 150,720.75 and 331,026.75 is: 727,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720.75 : 331,026.75 = 331,026.75 : x
  2. Step 2: Convert to fraction form
    150,720.75/331,026.75 = 331,026.75/x
  3. Step 3: Cross multiply
    150,720.75x = 331,026.75 × 331,026.75
  4. Step 4: Simplify right side
    150,720.75x = 109,578,709,215.56
  5. Step 5: Solve for x
    x = 109,578,709,215.56/150,720.75
  6. Step 6: Final answer
    x = 727,031.34

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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.