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Finding the Third Proportional to 149,917.50 and 322,067

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Solution

The third proportional to 149,917.50 and 322,067 is: 691,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,917.50 : 322,067 = 322,067 : x
  2. Step 2: Convert to fraction form
    149,917.50/322,067 = 322,067/x
  3. Step 3: Cross multiply
    149,917.50x = 322,067 × 322,067
  4. Step 4: Simplify right side
    149,917.50x = 103,727,152,489
  5. Step 5: Solve for x
    x = 103,727,152,489/149,917.50
  6. Step 6: Final answer
    x = 691,894.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.