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Finding the Third Proportional to 166,756 and 355,382

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Solution

The third proportional to 166,756 and 355,382 is: 757,372.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,756 : 355,382 = 355,382 : x
  2. Step 2: Convert to fraction form
    166,756/355,382 = 355,382/x
  3. Step 3: Cross multiply
    166,756x = 355,382 × 355,382
  4. Step 4: Simplify right side
    166,756x = 126,296,365,924
  5. Step 5: Solve for x
    x = 126,296,365,924/166,756
  6. Step 6: Final answer
    x = 757,372.24

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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.