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Finding the Third Proportional to 195,324.75 and 414,639.75

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Solution

The third proportional to 195,324.75 and 414,639.75 is: 880,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,324.75 : 414,639.75 = 414,639.75 : x
  2. Step 2: Convert to fraction form
    195,324.75/414,639.75 = 414,639.75/x
  3. Step 3: Cross multiply
    195,324.75x = 414,639.75 × 414,639.75
  4. Step 4: Simplify right side
    195,324.75x = 171,926,122,280.06
  5. Step 5: Solve for x
    x = 171,926,122,280.06/195,324.75
  6. Step 6: Final answer
    x = 880,206.54

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.