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Finding the Third Proportional to 214,003.50 and 451,878.75

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Solution

The third proportional to 214,003.50 and 451,878.75 is: 954,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,003.50 : 451,878.75 = 451,878.75 : x
  2. Step 2: Convert to fraction form
    214,003.50/451,878.75 = 451,878.75/x
  3. Step 3: Cross multiply
    214,003.50x = 451,878.75 × 451,878.75
  4. Step 4: Simplify right side
    214,003.50x = 204,194,404,701.56
  5. Step 5: Solve for x
    x = 204,194,404,701.56/214,003.50
  6. Step 6: Final answer
    x = 954,163.86

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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.