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Finding the Third Proportional to 171,114 and 412,233

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Solution

The third proportional to 171,114 and 412,233 is: 993,115.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,114 : 412,233 = 412,233 : x
  2. Step 2: Convert to fraction form
    171,114/412,233 = 412,233/x
  3. Step 3: Cross multiply
    171,114x = 412,233 × 412,233
  4. Step 4: Simplify right side
    171,114x = 169,936,046,289
  5. Step 5: Solve for x
    x = 169,936,046,289/171,114
  6. Step 6: Final answer
    x = 993,115.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.