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Finding the Third Proportional to 161,100 and 363,980

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Solution

The third proportional to 161,100 and 363,980 is: 822,355.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,100 : 363,980 = 363,980 : x
  2. Step 2: Convert to fraction form
    161,100/363,980 = 363,980/x
  3. Step 3: Cross multiply
    161,100x = 363,980 × 363,980
  4. Step 4: Simplify right side
    161,100x = 132,481,440,400
  5. Step 5: Solve for x
    x = 132,481,440,400/161,100
  6. Step 6: Final answer
    x = 822,355.31

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.