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Finding the Third Proportional to 226,978 and 351,233

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Solution

The third proportional to 226,978 and 351,233 is: 543,509.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,978 : 351,233 = 351,233 : x
  2. Step 2: Convert to fraction form
    226,978/351,233 = 351,233/x
  3. Step 3: Cross multiply
    226,978x = 351,233 × 351,233
  4. Step 4: Simplify right side
    226,978x = 123,364,620,289
  5. Step 5: Solve for x
    x = 123,364,620,289/226,978
  6. Step 6: Final answer
    x = 543,509.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.