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Finding the Third Proportional to 111,933.75 and 241,909.50

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Solution

The third proportional to 111,933.75 and 241,909.50 is: 522,811.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,933.75 : 241,909.50 = 241,909.50 : x
  2. Step 2: Convert to fraction form
    111,933.75/241,909.50 = 241,909.50/x
  3. Step 3: Cross multiply
    111,933.75x = 241,909.50 × 241,909.50
  4. Step 4: Simplify right side
    111,933.75x = 58,520,206,190.25
  5. Step 5: Solve for x
    x = 58,520,206,190.25/111,933.75
  6. Step 6: Final answer
    x = 522,811.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.