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Finding the Third Proportional to 181,167 and 393,549

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Solution

The third proportional to 181,167 and 393,549 is: 854,906.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,167 : 393,549 = 393,549 : x
  2. Step 2: Convert to fraction form
    181,167/393,549 = 393,549/x
  3. Step 3: Cross multiply
    181,167x = 393,549 × 393,549
  4. Step 4: Simplify right side
    181,167x = 154,880,815,401
  5. Step 5: Solve for x
    x = 154,880,815,401/181,167
  6. Step 6: Final answer
    x = 854,906.33

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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.