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Finding the Third Proportional to 149,616 and 223,917.75

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Solution

The third proportional to 149,616 and 223,917.75 is: 335,118.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,616 : 223,917.75 = 223,917.75 : x
  2. Step 2: Convert to fraction form
    149,616/223,917.75 = 223,917.75/x
  3. Step 3: Cross multiply
    149,616x = 223,917.75 × 223,917.75
  4. Step 4: Simplify right side
    149,616x = 50,139,158,765.06
  5. Step 5: Solve for x
    x = 50,139,158,765.06/149,616
  6. Step 6: Final answer
    x = 335,118.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.