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Finding the Third Proportional to 215,892 and 301,900

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Solution

The third proportional to 215,892 and 301,900 is: 422,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,892 : 301,900 = 301,900 : x
  2. Step 2: Convert to fraction form
    215,892/301,900 = 301,900/x
  3. Step 3: Cross multiply
    215,892x = 301,900 × 301,900
  4. Step 4: Simplify right side
    215,892x = 91,143,610,000
  5. Step 5: Solve for x
    x = 91,143,610,000/215,892
  6. Step 6: Final answer
    x = 422,172.24

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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.