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Finding the Third Proportional to 185,157 and 396,557.44

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Solution

The third proportional to 185,157 and 396,557.44 is: 849,321.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,157 : 396,557.44 = 396,557.44 : x
  2. Step 2: Convert to fraction form
    185,157/396,557.44 = 396,557.44/x
  3. Step 3: Cross multiply
    185,157x = 396,557.44 × 396,557.44
  4. Step 4: Simplify right side
    185,157x = 157,257,801,236.57
  5. Step 5: Solve for x
    x = 157,257,801,236.57/185,157
  6. Step 6: Final answer
    x = 849,321.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.