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Finding the Third Proportional to 122,175 and 269,202

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Solution

The third proportional to 122,175 and 269,202 is: 593,163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,175 : 269,202 = 269,202 : x
  2. Step 2: Convert to fraction form
    122,175/269,202 = 269,202/x
  3. Step 3: Cross multiply
    122,175x = 269,202 × 269,202
  4. Step 4: Simplify right side
    122,175x = 72,469,716,804
  5. Step 5: Solve for x
    x = 72,469,716,804/122,175
  6. Step 6: Final answer
    x = 593,163.22

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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.