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Finding the Third Proportional to 166,738 and 365,101

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Solution

The third proportional to 166,738 and 365,101 is: 799,450.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,738 : 365,101 = 365,101 : x
  2. Step 2: Convert to fraction form
    166,738/365,101 = 365,101/x
  3. Step 3: Cross multiply
    166,738x = 365,101 × 365,101
  4. Step 4: Simplify right side
    166,738x = 133,298,740,201
  5. Step 5: Solve for x
    x = 133,298,740,201/166,738
  6. Step 6: Final answer
    x = 799,450.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.