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Finding the Third Proportional to 166,934 and 393,673

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Solution

The third proportional to 166,934 and 393,673 is: 928,381.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,934 : 393,673 = 393,673 : x
  2. Step 2: Convert to fraction form
    166,934/393,673 = 393,673/x
  3. Step 3: Cross multiply
    166,934x = 393,673 × 393,673
  4. Step 4: Simplify right side
    166,934x = 154,978,430,929
  5. Step 5: Solve for x
    x = 154,978,430,929/166,934
  6. Step 6: Final answer
    x = 928,381.46

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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.