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Finding the Third Proportional to 166,941 and 393,687

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Solution

The third proportional to 166,941 and 393,687 is: 928,408.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,941 : 393,687 = 393,687 : x
  2. Step 2: Convert to fraction form
    166,941/393,687 = 393,687/x
  3. Step 3: Cross multiply
    166,941x = 393,687 × 393,687
  4. Step 4: Simplify right side
    166,941x = 154,989,453,969
  5. Step 5: Solve for x
    x = 154,989,453,969/166,941
  6. Step 6: Final answer
    x = 928,408.56

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.