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Finding the Third Proportional to 201,755 and 302,245

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Solution

The third proportional to 201,755 and 302,245 is: 452,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,755 : 302,245 = 302,245 : x
  2. Step 2: Convert to fraction form
    201,755/302,245 = 302,245/x
  3. Step 3: Cross multiply
    201,755x = 302,245 × 302,245
  4. Step 4: Simplify right side
    201,755x = 91,352,040,025
  5. Step 5: Solve for x
    x = 91,352,040,025/201,755
  6. Step 6: Final answer
    x = 452,786.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.