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Finding the Third Proportional to 233,205.75 and 481,133.25

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Solution

The third proportional to 233,205.75 and 481,133.25 is: 992,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,205.75 : 481,133.25 = 481,133.25 : x
  2. Step 2: Convert to fraction form
    233,205.75/481,133.25 = 481,133.25/x
  3. Step 3: Cross multiply
    233,205.75x = 481,133.25 × 481,133.25
  4. Step 4: Simplify right side
    233,205.75x = 231,489,204,255.56
  5. Step 5: Solve for x
    x = 231,489,204,255.56/233,205.75
  6. Step 6: Final answer
    x = 992,639.35

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.