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Finding the Third Proportional to 111,909.50 and 241,692

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Solution

The third proportional to 111,909.50 and 241,692 is: 521,984.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,909.50 : 241,692 = 241,692 : x
  2. Step 2: Convert to fraction form
    111,909.50/241,692 = 241,692/x
  3. Step 3: Cross multiply
    111,909.50x = 241,692 × 241,692
  4. Step 4: Simplify right side
    111,909.50x = 58,415,022,864
  5. Step 5: Solve for x
    x = 58,415,022,864/111,909.50
  6. Step 6: Final answer
    x = 521,984.49

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