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Finding the Third Proportional to 166,044 and 366,976

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Solution

The third proportional to 166,044 and 366,976 is: 811,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,044 : 366,976 = 366,976 : x
  2. Step 2: Convert to fraction form
    166,044/366,976 = 366,976/x
  3. Step 3: Cross multiply
    166,044x = 366,976 × 366,976
  4. Step 4: Simplify right side
    166,044x = 134,671,384,576
  5. Step 5: Solve for x
    x = 134,671,384,576/166,044
  6. Step 6: Final answer
    x = 811,058.42

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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.