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Finding the Third Proportional to 219,505.75 and 445,067

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Solution

The third proportional to 219,505.75 and 445,067 is: 902,412.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,505.75 : 445,067 = 445,067 : x
  2. Step 2: Convert to fraction form
    219,505.75/445,067 = 445,067/x
  3. Step 3: Cross multiply
    219,505.75x = 445,067 × 445,067
  4. Step 4: Simplify right side
    219,505.75x = 198,084,634,489
  5. Step 5: Solve for x
    x = 198,084,634,489/219,505.75
  6. Step 6: Final answer
    x = 902,412.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.