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Finding the Third Proportional to 202,243.12 and 449,379.48

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Solution

The third proportional to 202,243.12 and 449,379.48 is: 998,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,243.12 : 449,379.48 = 449,379.48 : x
  2. Step 2: Convert to fraction form
    202,243.12/449,379.48 = 449,379.48/x
  3. Step 3: Cross multiply
    202,243.12x = 449,379.48 × 449,379.48
  4. Step 4: Simplify right side
    202,243.12x = 201,941,919,034.92
  5. Step 5: Solve for x
    x = 201,941,919,034.92/202,243.12
  6. Step 6: Final answer
    x = 998,510.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.