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Finding the Third Proportional to 198,004.50 and 283,745.25

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Solution

The third proportional to 198,004.50 and 283,745.25 is: 406,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,004.50 : 283,745.25 = 283,745.25 : x
  2. Step 2: Convert to fraction form
    198,004.50/283,745.25 = 283,745.25/x
  3. Step 3: Cross multiply
    198,004.50x = 283,745.25 × 283,745.25
  4. Step 4: Simplify right side
    198,004.50x = 80,511,366,897.56
  5. Step 5: Solve for x
    x = 80,511,366,897.56/198,004.50
  6. Step 6: Final answer
    x = 406,613.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.