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Finding the Third Proportional to 166,167 and 365,562

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Solution

The third proportional to 166,167 and 365,562 is: 804,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,167 : 365,562 = 365,562 : x
  2. Step 2: Convert to fraction form
    166,167/365,562 = 365,562/x
  3. Step 3: Cross multiply
    166,167x = 365,562 × 365,562
  4. Step 4: Simplify right side
    166,167x = 133,635,575,844
  5. Step 5: Solve for x
    x = 133,635,575,844/166,167
  6. Step 6: Final answer
    x = 804,224.52

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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.