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Finding the Third Proportional to 166,491 and 366,126

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Solution

The third proportional to 166,491 and 366,126 is: 805,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,491 : 366,126 = 366,126 : x
  2. Step 2: Convert to fraction form
    166,491/366,126 = 366,126/x
  3. Step 3: Cross multiply
    166,491x = 366,126 × 366,126
  4. Step 4: Simplify right side
    166,491x = 134,048,247,876
  5. Step 5: Solve for x
    x = 134,048,247,876/166,491
  6. Step 6: Final answer
    x = 805,138.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.