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Finding the Third Proportional to 165,100 and 361,847

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Solution

The third proportional to 165,100 and 361,847 is: 793,054.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,100 : 361,847 = 361,847 : x
  2. Step 2: Convert to fraction form
    165,100/361,847 = 361,847/x
  3. Step 3: Cross multiply
    165,100x = 361,847 × 361,847
  4. Step 4: Simplify right side
    165,100x = 130,933,251,409
  5. Step 5: Solve for x
    x = 130,933,251,409/165,100
  6. Step 6: Final answer
    x = 793,054.22

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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.