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Finding the Third Proportional to 116,622 and 185,658.75

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Solution

The third proportional to 116,622 and 185,658.75 is: 295,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,622 : 185,658.75 = 185,658.75 : x
  2. Step 2: Convert to fraction form
    116,622/185,658.75 = 185,658.75/x
  3. Step 3: Cross multiply
    116,622x = 185,658.75 × 185,658.75
  4. Step 4: Simplify right side
    116,622x = 34,469,171,451.56
  5. Step 5: Solve for x
    x = 34,469,171,451.56/116,622
  6. Step 6: Final answer
    x = 295,563.20

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.