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Finding the Third Proportional to 170,847 and 363,690

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Solution

The third proportional to 170,847 and 363,690 is: 774,203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,847 : 363,690 = 363,690 : x
  2. Step 2: Convert to fraction form
    170,847/363,690 = 363,690/x
  3. Step 3: Cross multiply
    170,847x = 363,690 × 363,690
  4. Step 4: Simplify right side
    170,847x = 132,270,416,100
  5. Step 5: Solve for x
    x = 132,270,416,100/170,847
  6. Step 6: Final answer
    x = 774,203.91

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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.