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Finding the Third Proportional to 192,911.91 and 275,180.06

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Solution

The third proportional to 192,911.91 and 275,180.06 is: 392,531.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,911.91 : 275,180.06 = 275,180.06 : x
  2. Step 2: Convert to fraction form
    192,911.91/275,180.06 = 275,180.06/x
  3. Step 3: Cross multiply
    192,911.91x = 275,180.06 × 275,180.06
  4. Step 4: Simplify right side
    192,911.91x = 75,724,066,797.50
  5. Step 5: Solve for x
    x = 75,724,066,797.50/192,911.91
  6. Step 6: Final answer
    x = 392,531.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.