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Finding the Third Proportional to 111,214.69 and 262,217.25

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Solution

The third proportional to 111,214.69 and 262,217.25 is: 618,244.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,214.69 : 262,217.25 = 262,217.25 : x
  2. Step 2: Convert to fraction form
    111,214.69/262,217.25 = 262,217.25/x
  3. Step 3: Cross multiply
    111,214.69x = 262,217.25 × 262,217.25
  4. Step 4: Simplify right side
    111,214.69x = 68,757,886,197.56
  5. Step 5: Solve for x
    x = 68,757,886,197.56/111,214.69
  6. Step 6: Final answer
    x = 618,244.66

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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.