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Finding the Third Proportional to 111,262 and 231,728

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Solution

The third proportional to 111,262 and 231,728 is: 482,625.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,262 : 231,728 = 231,728 : x
  2. Step 2: Convert to fraction form
    111,262/231,728 = 231,728/x
  3. Step 3: Cross multiply
    111,262x = 231,728 × 231,728
  4. Step 4: Simplify right side
    111,262x = 53,697,865,984
  5. Step 5: Solve for x
    x = 53,697,865,984/111,262
  6. Step 6: Final answer
    x = 482,625.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.