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Finding the Third Proportional to 174,759.75 and 382,227.75

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Solution

The third proportional to 174,759.75 and 382,227.75 is: 835,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,759.75 : 382,227.75 = 382,227.75 : x
  2. Step 2: Convert to fraction form
    174,759.75/382,227.75 = 382,227.75/x
  3. Step 3: Cross multiply
    174,759.75x = 382,227.75 × 382,227.75
  4. Step 4: Simplify right side
    174,759.75x = 146,098,052,870.06
  5. Step 5: Solve for x
    x = 146,098,052,870.06/174,759.75
  6. Step 6: Final answer
    x = 835,993.72

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.