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Finding the Third Proportional to 110,530 and 234,194

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Solution

The third proportional to 110,530 and 234,194 is: 496,216.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,530 : 234,194 = 234,194 : x
  2. Step 2: Convert to fraction form
    110,530/234,194 = 234,194/x
  3. Step 3: Cross multiply
    110,530x = 234,194 × 234,194
  4. Step 4: Simplify right side
    110,530x = 54,846,829,636
  5. Step 5: Solve for x
    x = 54,846,829,636/110,530
  6. Step 6: Final answer
    x = 496,216.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.