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Finding the Third Proportional to 182,056.50 and 396,067.50

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Solution

The third proportional to 182,056.50 and 396,067.50 is: 861,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,056.50 : 396,067.50 = 396,067.50 : x
  2. Step 2: Convert to fraction form
    182,056.50/396,067.50 = 396,067.50/x
  3. Step 3: Cross multiply
    182,056.50x = 396,067.50 × 396,067.50
  4. Step 4: Simplify right side
    182,056.50x = 156,869,464,556.25
  5. Step 5: Solve for x
    x = 156,869,464,556.25/182,056.50
  6. Step 6: Final answer
    x = 861,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.