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Finding the Third Proportional to 166,742 and 365,107

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Solution

The third proportional to 166,742 and 365,107 is: 799,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,742 : 365,107 = 365,107 : x
  2. Step 2: Convert to fraction form
    166,742/365,107 = 365,107/x
  3. Step 3: Cross multiply
    166,742x = 365,107 × 365,107
  4. Step 4: Simplify right side
    166,742x = 133,303,121,449
  5. Step 5: Solve for x
    x = 133,303,121,449/166,742
  6. Step 6: Final answer
    x = 799,457.37

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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.