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Finding the Third Proportional to 111,744 and 235,908

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Solution

The third proportional to 111,744 and 235,908 is: 498,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,744 : 235,908 = 235,908 : x
  2. Step 2: Convert to fraction form
    111,744/235,908 = 235,908/x
  3. Step 3: Cross multiply
    111,744x = 235,908 × 235,908
  4. Step 4: Simplify right side
    111,744x = 55,652,584,464
  5. Step 5: Solve for x
    x = 55,652,584,464/111,744
  6. Step 6: Final answer
    x = 498,036.44

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Why These Related Problems?

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