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Finding the Third Proportional to 150,892 and 331,916

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Solution

The third proportional to 150,892 and 331,916 is: 730,113.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,892 : 331,916 = 331,916 : x
  2. Step 2: Convert to fraction form
    150,892/331,916 = 331,916/x
  3. Step 3: Cross multiply
    150,892x = 331,916 × 331,916
  4. Step 4: Simplify right side
    150,892x = 110,168,231,056
  5. Step 5: Solve for x
    x = 110,168,231,056/150,892
  6. Step 6: Final answer
    x = 730,113.13

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