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Finding the Third Proportional to 166,322 and 400,991

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Solution

The third proportional to 166,322 and 400,991 is: 966,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,322 : 400,991 = 400,991 : x
  2. Step 2: Convert to fraction form
    166,322/400,991 = 400,991/x
  3. Step 3: Cross multiply
    166,322x = 400,991 × 400,991
  4. Step 4: Simplify right side
    166,322x = 160,793,782,081
  5. Step 5: Solve for x
    x = 160,793,782,081/166,322
  6. Step 6: Final answer
    x = 966,761.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.