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Finding the Third Proportional to 227,272 and 336,505.50

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Solution

The third proportional to 227,272 and 336,505.50 is: 498,239.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,272 : 336,505.50 = 336,505.50 : x
  2. Step 2: Convert to fraction form
    227,272/336,505.50 = 336,505.50/x
  3. Step 3: Cross multiply
    227,272x = 336,505.50 × 336,505.50
  4. Step 4: Simplify right side
    227,272x = 113,235,951,530.25
  5. Step 5: Solve for x
    x = 113,235,951,530.25/227,272
  6. Step 6: Final answer
    x = 498,239.78

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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.