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Finding the Third Proportional to 227,684 and 339,680

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Solution

The third proportional to 227,684 and 339,680 is: 506,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,684 : 339,680 = 339,680 : x
  2. Step 2: Convert to fraction form
    227,684/339,680 = 339,680/x
  3. Step 3: Cross multiply
    227,684x = 339,680 × 339,680
  4. Step 4: Simplify right side
    227,684x = 115,382,502,400
  5. Step 5: Solve for x
    x = 115,382,502,400/227,684
  6. Step 6: Final answer
    x = 506,765.97

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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.