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Finding the Third Proportional to 232,195.50 and 474,231.38

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Solution

The third proportional to 232,195.50 and 474,231.38 is: 968,560.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,195.50 : 474,231.38 = 474,231.38 : x
  2. Step 2: Convert to fraction form
    232,195.50/474,231.38 = 474,231.38/x
  3. Step 3: Cross multiply
    232,195.50x = 474,231.38 × 474,231.38
  4. Step 4: Simplify right side
    232,195.50x = 224,895,397,034.39
  5. Step 5: Solve for x
    x = 224,895,397,034.39/232,195.50
  6. Step 6: Final answer
    x = 968,560.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.