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Finding the Third Proportional to 122,192 and 269,236

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Solution

The third proportional to 122,192 and 269,236 is: 593,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,192 : 269,236 = 269,236 : x
  2. Step 2: Convert to fraction form
    122,192/269,236 = 269,236/x
  3. Step 3: Cross multiply
    122,192x = 269,236 × 269,236
  4. Step 4: Simplify right side
    122,192x = 72,488,023,696
  5. Step 5: Solve for x
    x = 72,488,023,696/122,192
  6. Step 6: Final answer
    x = 593,230.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.