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Finding the Third Proportional to 166,126 and 354,002

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Solution

The third proportional to 166,126 and 354,002 is: 754,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,126 : 354,002 = 354,002 : x
  2. Step 2: Convert to fraction form
    166,126/354,002 = 354,002/x
  3. Step 3: Cross multiply
    166,126x = 354,002 × 354,002
  4. Step 4: Simplify right side
    166,126x = 125,317,416,004
  5. Step 5: Solve for x
    x = 125,317,416,004/166,126
  6. Step 6: Final answer
    x = 754,351.61

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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.