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Finding the Third Proportional to 227,680.88 and 339,677.44

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Solution

The third proportional to 227,680.88 and 339,677.44 is: 506,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,680.88 : 339,677.44 = 339,677.44 : x
  2. Step 2: Convert to fraction form
    227,680.88/339,677.44 = 339,677.44/x
  3. Step 3: Cross multiply
    227,680.88x = 339,677.44 × 339,677.44
  4. Step 4: Simplify right side
    227,680.88x = 115,380,761,546.57
  5. Step 5: Solve for x
    x = 115,380,761,546.57/227,680.88
  6. Step 6: Final answer
    x = 506,765.28

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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.