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Finding the Third Proportional to 171,161 and 365,220

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Solution

The third proportional to 171,161 and 365,220 is: 779,299.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,161 : 365,220 = 365,220 : x
  2. Step 2: Convert to fraction form
    171,161/365,220 = 365,220/x
  3. Step 3: Cross multiply
    171,161x = 365,220 × 365,220
  4. Step 4: Simplify right side
    171,161x = 133,385,648,400
  5. Step 5: Solve for x
    x = 133,385,648,400/171,161
  6. Step 6: Final answer
    x = 779,299.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.