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Finding the Third Proportional to 192,754.88 and 417,687.38

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Solution

The third proportional to 192,754.88 and 417,687.38 is: 905,101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,754.88 : 417,687.38 = 417,687.38 : x
  2. Step 2: Convert to fraction form
    192,754.88/417,687.38 = 417,687.38/x
  3. Step 3: Cross multiply
    192,754.88x = 417,687.38 × 417,687.38
  4. Step 4: Simplify right side
    192,754.88x = 174,462,743,234.39
  5. Step 5: Solve for x
    x = 174,462,743,234.39/192,754.88
  6. Step 6: Final answer
    x = 905,101.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.