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Finding the Third Proportional to 111,222 and 239,940

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Solution

The third proportional to 111,222 and 239,940 is: 517,624.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,222 : 239,940 = 239,940 : x
  2. Step 2: Convert to fraction form
    111,222/239,940 = 239,940/x
  3. Step 3: Cross multiply
    111,222x = 239,940 × 239,940
  4. Step 4: Simplify right side
    111,222x = 57,571,203,600
  5. Step 5: Solve for x
    x = 57,571,203,600/111,222
  6. Step 6: Final answer
    x = 517,624.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.