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Finding the Third Proportional to 230,286.38 and 338,846.63

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Solution

The third proportional to 230,286.38 and 338,846.63 is: 498,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,286.38 : 338,846.63 = 338,846.63 : x
  2. Step 2: Convert to fraction form
    230,286.38/338,846.63 = 338,846.63/x
  3. Step 3: Cross multiply
    230,286.38x = 338,846.63 × 338,846.63
  4. Step 4: Simplify right side
    230,286.38x = 114,817,035,273.89
  5. Step 5: Solve for x
    x = 114,817,035,273.89/230,286.38
  6. Step 6: Final answer
    x = 498,583.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.