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Finding the Third Proportional to 150,477 and 199,755

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Solution

The third proportional to 150,477 and 199,755 is: 265,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,477 : 199,755 = 199,755 : x
  2. Step 2: Convert to fraction form
    150,477/199,755 = 199,755/x
  3. Step 3: Cross multiply
    150,477x = 199,755 × 199,755
  4. Step 4: Simplify right side
    150,477x = 39,902,060,025
  5. Step 5: Solve for x
    x = 39,902,060,025/150,477
  6. Step 6: Final answer
    x = 265,170.49

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.