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Finding the Third Proportional to 202,223.25 and 299,391.75

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Solution

The third proportional to 202,223.25 and 299,391.75 is: 443,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,223.25 : 299,391.75 = 299,391.75 : x
  2. Step 2: Convert to fraction form
    202,223.25/299,391.75 = 299,391.75/x
  3. Step 3: Cross multiply
    202,223.25x = 299,391.75 × 299,391.75
  4. Step 4: Simplify right side
    202,223.25x = 89,635,419,968.06
  5. Step 5: Solve for x
    x = 89,635,419,968.06/202,223.25
  6. Step 6: Final answer
    x = 443,249.82

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.