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Finding the Third Proportional to 111,936 and 241,915

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Solution

The third proportional to 111,936 and 241,915 is: 522,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,936 : 241,915 = 241,915 : x
  2. Step 2: Convert to fraction form
    111,936/241,915 = 241,915/x
  3. Step 3: Cross multiply
    111,936x = 241,915 × 241,915
  4. Step 4: Simplify right side
    111,936x = 58,522,867,225
  5. Step 5: Solve for x
    x = 58,522,867,225/111,936
  6. Step 6: Final answer
    x = 522,824.36

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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.