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Finding the Third Proportional to 111,764 and 242,449

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Solution

The third proportional to 111,764 and 242,449 is: 525,943.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,764 : 242,449 = 242,449 : x
  2. Step 2: Convert to fraction form
    111,764/242,449 = 242,449/x
  3. Step 3: Cross multiply
    111,764x = 242,449 × 242,449
  4. Step 4: Simplify right side
    111,764x = 58,781,517,601
  5. Step 5: Solve for x
    x = 58,781,517,601/111,764
  6. Step 6: Final answer
    x = 525,943.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.