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Finding the Third Proportional to 227,296.13 and 356,560.73

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Solution

The third proportional to 227,296.13 and 356,560.73 is: 559,338.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,296.13 : 356,560.73 = 356,560.73 : x
  2. Step 2: Convert to fraction form
    227,296.13/356,560.73 = 356,560.73/x
  3. Step 3: Cross multiply
    227,296.13x = 356,560.73 × 356,560.73
  4. Step 4: Simplify right side
    227,296.13x = 127,135,557,298.04
  5. Step 5: Solve for x
    x = 127,135,557,298.04/227,296.13
  6. Step 6: Final answer
    x = 559,338.87

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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.