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Finding the Third Proportional to 227,680.31 and 339,675.19

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Solution

The third proportional to 227,680.31 and 339,675.19 is: 506,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,680.31 : 339,675.19 = 339,675.19 : x
  2. Step 2: Convert to fraction form
    227,680.31/339,675.19 = 339,675.19/x
  3. Step 3: Cross multiply
    227,680.31x = 339,675.19 × 339,675.19
  4. Step 4: Simplify right side
    227,680.31x = 115,379,233,003.16
  5. Step 5: Solve for x
    x = 115,379,233,003.16/227,680.31
  6. Step 6: Final answer
    x = 506,759.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.