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Finding the Third Proportional to 111,949 and 236,532.50

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Solution

The third proportional to 111,949 and 236,532.50 is: 499,759.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,949 : 236,532.50 = 236,532.50 : x
  2. Step 2: Convert to fraction form
    111,949/236,532.50 = 236,532.50/x
  3. Step 3: Cross multiply
    111,949x = 236,532.50 × 236,532.50
  4. Step 4: Simplify right side
    111,949x = 55,947,623,556.25
  5. Step 5: Solve for x
    x = 55,947,623,556.25/111,949
  6. Step 6: Final answer
    x = 499,759.92

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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.