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Finding the Third Proportional to 166,764 and 355,398

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Solution

The third proportional to 166,764 and 355,398 is: 757,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,764 : 355,398 = 355,398 : x
  2. Step 2: Convert to fraction form
    166,764/355,398 = 355,398/x
  3. Step 3: Cross multiply
    166,764x = 355,398 × 355,398
  4. Step 4: Simplify right side
    166,764x = 126,307,738,404
  5. Step 5: Solve for x
    x = 126,307,738,404/166,764
  6. Step 6: Final answer
    x = 757,404.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.