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Finding the Third Proportional to 227,333.25 and 341,034.75

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Solution

The third proportional to 227,333.25 and 341,034.75 is: 511,604.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,333.25 : 341,034.75 = 341,034.75 : x
  2. Step 2: Convert to fraction form
    227,333.25/341,034.75 = 341,034.75/x
  3. Step 3: Cross multiply
    227,333.25x = 341,034.75 × 341,034.75
  4. Step 4: Simplify right side
    227,333.25x = 116,304,700,707.56
  5. Step 5: Solve for x
    x = 116,304,700,707.56/227,333.25
  6. Step 6: Final answer
    x = 511,604.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.