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Finding the Third Proportional to 122,190 and 269,232

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Solution

The third proportional to 122,190 and 269,232 is: 593,222.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,190 : 269,232 = 269,232 : x
  2. Step 2: Convert to fraction form
    122,190/269,232 = 269,232/x
  3. Step 3: Cross multiply
    122,190x = 269,232 × 269,232
  4. Step 4: Simplify right side
    122,190x = 72,485,869,824
  5. Step 5: Solve for x
    x = 72,485,869,824/122,190
  6. Step 6: Final answer
    x = 593,222.60

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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.