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Finding the Third Proportional to 150,415.50 and 233,183.25

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Solution

The third proportional to 150,415.50 and 233,183.25 is: 361,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,415.50 : 233,183.25 = 233,183.25 : x
  2. Step 2: Convert to fraction form
    150,415.50/233,183.25 = 233,183.25/x
  3. Step 3: Cross multiply
    150,415.50x = 233,183.25 × 233,183.25
  4. Step 4: Simplify right side
    150,415.50x = 54,374,428,080.56
  5. Step 5: Solve for x
    x = 54,374,428,080.56/150,415.50
  6. Step 6: Final answer
    x = 361,494.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.