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Finding the Third Proportional to 166,839.75 and 393,673.92

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Solution

The third proportional to 166,839.75 and 393,673.92 is: 928,910.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,839.75 : 393,673.92 = 393,673.92 : x
  2. Step 2: Convert to fraction form
    166,839.75/393,673.92 = 393,673.92/x
  3. Step 3: Cross multiply
    166,839.75x = 393,673.92 × 393,673.92
  4. Step 4: Simplify right side
    166,839.75x = 154,979,156,764.44
  5. Step 5: Solve for x
    x = 154,979,156,764.44/166,839.75
  6. Step 6: Final answer
    x = 928,910.27

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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.