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Finding the Third Proportional to 111,132 and 236,844

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Solution

The third proportional to 111,132 and 236,844 is: 504,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,132 : 236,844 = 236,844 : x
  2. Step 2: Convert to fraction form
    111,132/236,844 = 236,844/x
  3. Step 3: Cross multiply
    111,132x = 236,844 × 236,844
  4. Step 4: Simplify right side
    111,132x = 56,095,080,336
  5. Step 5: Solve for x
    x = 56,095,080,336/111,132
  6. Step 6: Final answer
    x = 504,760.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.