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Finding the Third Proportional to 168,350 and 369,910

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Solution

The third proportional to 168,350 and 369,910 is: 812,791.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,350 : 369,910 = 369,910 : x
  2. Step 2: Convert to fraction form
    168,350/369,910 = 369,910/x
  3. Step 3: Cross multiply
    168,350x = 369,910 × 369,910
  4. Step 4: Simplify right side
    168,350x = 136,833,408,100
  5. Step 5: Solve for x
    x = 136,833,408,100/168,350
  6. Step 6: Final answer
    x = 812,791.26

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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.