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Finding the Third Proportional to 227,134 and 330,841.75

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Solution

The third proportional to 227,134 and 330,841.75 is: 481,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,134 : 330,841.75 = 330,841.75 : x
  2. Step 2: Convert to fraction form
    227,134/330,841.75 = 330,841.75/x
  3. Step 3: Cross multiply
    227,134x = 330,841.75 × 330,841.75
  4. Step 4: Simplify right side
    227,134x = 109,456,263,543.06
  5. Step 5: Solve for x
    x = 109,456,263,543.06/227,134
  6. Step 6: Final answer
    x = 481,901.71

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.