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Finding the Third Proportional to 150,082.88 and 331,672.22

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Solution

The third proportional to 150,082.88 and 331,672.22 is: 732,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,082.88 : 331,672.22 = 331,672.22 : x
  2. Step 2: Convert to fraction form
    150,082.88/331,672.22 = 331,672.22/x
  3. Step 3: Cross multiply
    150,082.88x = 331,672.22 × 331,672.22
  4. Step 4: Simplify right side
    150,082.88x = 110,006,460,690.55
  5. Step 5: Solve for x
    x = 110,006,460,690.55/150,082.88
  6. Step 6: Final answer
    x = 732,971.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.