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Finding the Third Proportional to 117,426.94 and 261,747.56

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Solution

The third proportional to 117,426.94 and 261,747.56 is: 583,441.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,426.94 : 261,747.56 = 261,747.56 : x
  2. Step 2: Convert to fraction form
    117,426.94/261,747.56 = 261,747.56/x
  3. Step 3: Cross multiply
    117,426.94x = 261,747.56 × 261,747.56
  4. Step 4: Simplify right side
    117,426.94x = 68,511,786,474.69
  5. Step 5: Solve for x
    x = 68,511,786,474.69/117,426.94
  6. Step 6: Final answer
    x = 583,441.82

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.