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Finding the Third Proportional to 111,508 and 244,156

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Solution

The third proportional to 111,508 and 244,156 is: 534,599.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,508 : 244,156 = 244,156 : x
  2. Step 2: Convert to fraction form
    111,508/244,156 = 244,156/x
  3. Step 3: Cross multiply
    111,508x = 244,156 × 244,156
  4. Step 4: Simplify right side
    111,508x = 59,612,152,336
  5. Step 5: Solve for x
    x = 59,612,152,336/111,508
  6. Step 6: Final answer
    x = 534,599.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.