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Finding the Third Proportional to 182,353.78 and 400,175.44

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Solution

The third proportional to 182,353.78 and 400,175.44 is: 878,185.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,353.78 : 400,175.44 = 400,175.44 : x
  2. Step 2: Convert to fraction form
    182,353.78/400,175.44 = 400,175.44/x
  3. Step 3: Cross multiply
    182,353.78x = 400,175.44 × 400,175.44
  4. Step 4: Simplify right side
    182,353.78x = 160,140,380,778.32
  5. Step 5: Solve for x
    x = 160,140,380,778.32/182,353.78
  6. Step 6: Final answer
    x = 878,185.14

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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.