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Finding the Third Proportional to 227,046.38 and 356,208.75

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Solution

The third proportional to 227,046.38 and 356,208.75 is: 558,849.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,046.38 : 356,208.75 = 356,208.75 : x
  2. Step 2: Convert to fraction form
    227,046.38/356,208.75 = 356,208.75/x
  3. Step 3: Cross multiply
    227,046.38x = 356,208.75 × 356,208.75
  4. Step 4: Simplify right side
    227,046.38x = 126,884,673,576.56
  5. Step 5: Solve for x
    x = 126,884,673,576.56/227,046.38
  6. Step 6: Final answer
    x = 558,849.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.