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Finding the Third Proportional to 201,792.94 and 442,945.97

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Solution

The third proportional to 201,792.94 and 442,945.97 is: 972,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,792.94 : 442,945.97 = 442,945.97 : x
  2. Step 2: Convert to fraction form
    201,792.94/442,945.97 = 442,945.97/x
  3. Step 3: Cross multiply
    201,792.94x = 442,945.97 × 442,945.97
  4. Step 4: Simplify right side
    201,792.94x = 196,201,131,231.88
  5. Step 5: Solve for x
    x = 196,201,131,231.88/201,792.94
  6. Step 6: Final answer
    x = 972,289.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.