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Finding the Third Proportional to 182,310.75 and 397,517.63

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Solution

The third proportional to 182,310.75 and 397,517.63 is: 866,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,310.75 : 397,517.63 = 397,517.63 : x
  2. Step 2: Convert to fraction form
    182,310.75/397,517.63 = 397,517.63/x
  3. Step 3: Cross multiply
    182,310.75x = 397,517.63 × 397,517.63
  4. Step 4: Simplify right side
    182,310.75x = 158,020,262,185.64
  5. Step 5: Solve for x
    x = 158,020,262,185.64/182,310.75
  6. Step 6: Final answer
    x = 866,763.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.