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Finding the Third Proportional to 150,251 and 233,990

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Solution

The third proportional to 150,251 and 233,990 is: 364,399.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,251 : 233,990 = 233,990 : x
  2. Step 2: Convert to fraction form
    150,251/233,990 = 233,990/x
  3. Step 3: Cross multiply
    150,251x = 233,990 × 233,990
  4. Step 4: Simplify right side
    150,251x = 54,751,320,100
  5. Step 5: Solve for x
    x = 54,751,320,100/150,251
  6. Step 6: Final answer
    x = 364,399.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.