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Finding the Third Proportional to 80,572.22 and 175,481.44

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Solution

The third proportional to 80,572.22 and 175,481.44 is: 382,188.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,572.22 : 175,481.44 = 175,481.44 : x
  2. Step 2: Convert to fraction form
    80,572.22/175,481.44 = 175,481.44/x
  3. Step 3: Cross multiply
    80,572.22x = 175,481.44 × 175,481.44
  4. Step 4: Simplify right side
    80,572.22x = 30,793,734,907.07
  5. Step 5: Solve for x
    x = 30,793,734,907.07/80,572.22
  6. Step 6: Final answer
    x = 382,188.00

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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.