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Finding the Third Proportional to 111,215.50 and 262,427

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Solution

The third proportional to 111,215.50 and 262,427 is: 619,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,215.50 : 262,427 = 262,427 : x
  2. Step 2: Convert to fraction form
    111,215.50/262,427 = 262,427/x
  3. Step 3: Cross multiply
    111,215.50x = 262,427 × 262,427
  4. Step 4: Simplify right side
    111,215.50x = 68,867,930,329
  5. Step 5: Solve for x
    x = 68,867,930,329/111,215.50
  6. Step 6: Final answer
    x = 619,229.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.