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Finding the Third Proportional to 122,463 and 269,019

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Solution

The third proportional to 122,463 and 269,019 is: 590,963.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,463 : 269,019 = 269,019 : x
  2. Step 2: Convert to fraction form
    122,463/269,019 = 269,019/x
  3. Step 3: Cross multiply
    122,463x = 269,019 × 269,019
  4. Step 4: Simplify right side
    122,463x = 72,371,222,361
  5. Step 5: Solve for x
    x = 72,371,222,361/122,463
  6. Step 6: Final answer
    x = 590,963.98

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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.