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Finding the Third Proportional to 166,038 and 366,962

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Solution

The third proportional to 166,038 and 366,962 is: 811,025.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,038 : 366,962 = 366,962 : x
  2. Step 2: Convert to fraction form
    166,038/366,962 = 366,962/x
  3. Step 3: Cross multiply
    166,038x = 366,962 × 366,962
  4. Step 4: Simplify right side
    166,038x = 134,661,109,444
  5. Step 5: Solve for x
    x = 134,661,109,444/166,038
  6. Step 6: Final answer
    x = 811,025.85

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.