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Finding the Third Proportional to 166,487 and 366,910

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Solution

The third proportional to 166,487 and 366,910 is: 808,609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,487 : 366,910 = 366,910 : x
  2. Step 2: Convert to fraction form
    166,487/366,910 = 366,910/x
  3. Step 3: Cross multiply
    166,487x = 366,910 × 366,910
  4. Step 4: Simplify right side
    166,487x = 134,622,948,100
  5. Step 5: Solve for x
    x = 134,622,948,100/166,487
  6. Step 6: Final answer
    x = 808,609.37

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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.