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Finding the Third Proportional to 182,230.88 and 269,759.25

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Solution

The third proportional to 182,230.88 and 269,759.25 is: 399,328.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,230.88 : 269,759.25 = 269,759.25 : x
  2. Step 2: Convert to fraction form
    182,230.88/269,759.25 = 269,759.25/x
  3. Step 3: Cross multiply
    182,230.88x = 269,759.25 × 269,759.25
  4. Step 4: Simplify right side
    182,230.88x = 72,770,052,960.56
  5. Step 5: Solve for x
    x = 72,770,052,960.56/182,230.88
  6. Step 6: Final answer
    x = 399,328.89

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.