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Finding the Third Proportional to 190,059.50 and 408,197

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Solution

The third proportional to 190,059.50 and 408,197 is: 876,698.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,059.50 : 408,197 = 408,197 : x
  2. Step 2: Convert to fraction form
    190,059.50/408,197 = 408,197/x
  3. Step 3: Cross multiply
    190,059.50x = 408,197 × 408,197
  4. Step 4: Simplify right side
    190,059.50x = 166,624,790,809
  5. Step 5: Solve for x
    x = 166,624,790,809/190,059.50
  6. Step 6: Final answer
    x = 876,698.04

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.