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Finding the Third Proportional to 166,324 and 400,996

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Solution

The third proportional to 166,324 and 400,996 is: 966,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,324 : 400,996 = 400,996 : x
  2. Step 2: Convert to fraction form
    166,324/400,996 = 400,996/x
  3. Step 3: Cross multiply
    166,324x = 400,996 × 400,996
  4. Step 4: Simplify right side
    166,324x = 160,797,792,016
  5. Step 5: Solve for x
    x = 160,797,792,016/166,324
  6. Step 6: Final answer
    x = 966,774.44

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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.