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Finding the Third Proportional to 192,147.75 and 412,724.25

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Solution

The third proportional to 192,147.75 and 412,724.25 is: 886,512.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,147.75 : 412,724.25 = 412,724.25 : x
  2. Step 2: Convert to fraction form
    192,147.75/412,724.25 = 412,724.25/x
  3. Step 3: Cross multiply
    192,147.75x = 412,724.25 × 412,724.25
  4. Step 4: Simplify right side
    192,147.75x = 170,341,306,538.06
  5. Step 5: Solve for x
    x = 170,341,306,538.06/192,147.75
  6. Step 6: Final answer
    x = 886,512.11

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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.