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Finding the Third Proportional to 80,574.75 and 175,486.50

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Solution

The third proportional to 80,574.75 and 175,486.50 is: 382,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,574.75 : 175,486.50 = 175,486.50 : x
  2. Step 2: Convert to fraction form
    80,574.75/175,486.50 = 175,486.50/x
  3. Step 3: Cross multiply
    80,574.75x = 175,486.50 × 175,486.50
  4. Step 4: Simplify right side
    80,574.75x = 30,795,511,682.25
  5. Step 5: Solve for x
    x = 30,795,511,682.25/80,574.75
  6. Step 6: Final answer
    x = 382,198.04

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