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Finding the Third Proportional to 111,332 and 231,844

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Solution

The third proportional to 111,332 and 231,844 is: 482,804.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,332 : 231,844 = 231,844 : x
  2. Step 2: Convert to fraction form
    111,332/231,844 = 231,844/x
  3. Step 3: Cross multiply
    111,332x = 231,844 × 231,844
  4. Step 4: Simplify right side
    111,332x = 53,751,640,336
  5. Step 5: Solve for x
    x = 53,751,640,336/111,332
  6. Step 6: Final answer
    x = 482,804.95

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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.