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Finding the Third Proportional to 182,037.75 and 399,067.50

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Solution

The third proportional to 182,037.75 and 399,067.50 is: 874,845.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,037.75 : 399,067.50 = 399,067.50 : x
  2. Step 2: Convert to fraction form
    182,037.75/399,067.50 = 399,067.50/x
  3. Step 3: Cross multiply
    182,037.75x = 399,067.50 × 399,067.50
  4. Step 4: Simplify right side
    182,037.75x = 159,254,869,556.25
  5. Step 5: Solve for x
    x = 159,254,869,556.25/182,037.75
  6. Step 6: Final answer
    x = 874,845.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.