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Finding the Third Proportional to 111,956 and 236,548

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Solution

The third proportional to 111,956 and 236,548 is: 499,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,956 : 236,548 = 236,548 : x
  2. Step 2: Convert to fraction form
    111,956/236,548 = 236,548/x
  3. Step 3: Cross multiply
    111,956x = 236,548 × 236,548
  4. Step 4: Simplify right side
    111,956x = 55,954,956,304
  5. Step 5: Solve for x
    x = 55,954,956,304/111,956
  6. Step 6: Final answer
    x = 499,794.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.