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Finding the Third Proportional to 215,022 and 300,798

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Solution

The third proportional to 215,022 and 300,798 is: 420,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,022 : 300,798 = 300,798 : x
  2. Step 2: Convert to fraction form
    215,022/300,798 = 300,798/x
  3. Step 3: Cross multiply
    215,022x = 300,798 × 300,798
  4. Step 4: Simplify right side
    215,022x = 90,479,436,804
  5. Step 5: Solve for x
    x = 90,479,436,804/215,022
  6. Step 6: Final answer
    x = 420,791.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.