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Finding the Third Proportional to 190,084.50 and 408,249

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Solution

The third proportional to 190,084.50 and 408,249 is: 876,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,084.50 : 408,249 = 408,249 : x
  2. Step 2: Convert to fraction form
    190,084.50/408,249 = 408,249/x
  3. Step 3: Cross multiply
    190,084.50x = 408,249 × 408,249
  4. Step 4: Simplify right side
    190,084.50x = 166,667,246,001
  5. Step 5: Solve for x
    x = 166,667,246,001/190,084.50
  6. Step 6: Final answer
    x = 876,806.08

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Why These Related Problems?

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