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Finding the Third Proportional to 116,596.75 and 247,205.75

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Solution

The third proportional to 116,596.75 and 247,205.75 is: 524,119.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,596.75 : 247,205.75 = 247,205.75 : x
  2. Step 2: Convert to fraction form
    116,596.75/247,205.75 = 247,205.75/x
  3. Step 3: Cross multiply
    116,596.75x = 247,205.75 × 247,205.75
  4. Step 4: Simplify right side
    116,596.75x = 61,110,682,833.06
  5. Step 5: Solve for x
    x = 61,110,682,833.06/116,596.75
  6. Step 6: Final answer
    x = 524,119.95

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.