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Finding the Third Proportional to 149,976.56 and 210,961.69

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Solution

The third proportional to 149,976.56 and 210,961.69 is: 296,745.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,976.56 : 210,961.69 = 210,961.69 : x
  2. Step 2: Convert to fraction form
    149,976.56/210,961.69 = 210,961.69/x
  3. Step 3: Cross multiply
    149,976.56x = 210,961.69 × 210,961.69
  4. Step 4: Simplify right side
    149,976.56x = 44,504,833,592.85
  5. Step 5: Solve for x
    x = 44,504,833,592.85/149,976.56
  6. Step 6: Final answer
    x = 296,745.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.