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Finding the Third Proportional to 71,667 and 155,778

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Solution

The third proportional to 71,667 and 155,778 is: 338,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,667 : 155,778 = 155,778 : x
  2. Step 2: Convert to fraction form
    71,667/155,778 = 155,778/x
  3. Step 3: Cross multiply
    71,667x = 155,778 × 155,778
  4. Step 4: Simplify right side
    71,667x = 24,266,785,284
  5. Step 5: Solve for x
    x = 24,266,785,284/71,667
  6. Step 6: Final answer
    x = 338,604.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.