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Finding the Third Proportional to 150,344 and 331,792

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Solution

The third proportional to 150,344 and 331,792 is: 732,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,344 : 331,792 = 331,792 : x
  2. Step 2: Convert to fraction form
    150,344/331,792 = 331,792/x
  3. Step 3: Cross multiply
    150,344x = 331,792 × 331,792
  4. Step 4: Simplify right side
    150,344x = 110,085,931,264
  5. Step 5: Solve for x
    x = 110,085,931,264/150,344
  6. Step 6: Final answer
    x = 732,226.97

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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.