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Finding the Third Proportional to 233,617.50 and 365,982.75

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Solution

The third proportional to 233,617.50 and 365,982.75 is: 573,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,617.50 : 365,982.75 = 365,982.75 : x
  2. Step 2: Convert to fraction form
    233,617.50/365,982.75 = 365,982.75/x
  3. Step 3: Cross multiply
    233,617.50x = 365,982.75 × 365,982.75
  4. Step 4: Simplify right side
    233,617.50x = 133,943,373,297.56
  5. Step 5: Solve for x
    x = 133,943,373,297.56/233,617.50
  6. Step 6: Final answer
    x = 573,344.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.