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Finding the Third Proportional to 111,163.50 and 239,823

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Solution

The third proportional to 111,163.50 and 239,823 is: 517,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,163.50 : 239,823 = 239,823 : x
  2. Step 2: Convert to fraction form
    111,163.50/239,823 = 239,823/x
  3. Step 3: Cross multiply
    111,163.50x = 239,823 × 239,823
  4. Step 4: Simplify right side
    111,163.50x = 57,515,071,329
  5. Step 5: Solve for x
    x = 57,515,071,329/111,163.50
  6. Step 6: Final answer
    x = 517,391.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.