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Finding the Third Proportional to 166,047 and 366,983

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Solution

The third proportional to 166,047 and 366,983 is: 811,074.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,047 : 366,983 = 366,983 : x
  2. Step 2: Convert to fraction form
    166,047/366,983 = 366,983/x
  3. Step 3: Cross multiply
    166,047x = 366,983 × 366,983
  4. Step 4: Simplify right side
    166,047x = 134,676,522,289
  5. Step 5: Solve for x
    x = 134,676,522,289/166,047
  6. Step 6: Final answer
    x = 811,074.71

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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.