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Finding the Third Proportional to 169,968 and 374,256

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Solution

The third proportional to 169,968 and 374,256 is: 824,081.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,968 : 374,256 = 374,256 : x
  2. Step 2: Convert to fraction form
    169,968/374,256 = 374,256/x
  3. Step 3: Cross multiply
    169,968x = 374,256 × 374,256
  4. Step 4: Simplify right side
    169,968x = 140,067,553,536
  5. Step 5: Solve for x
    x = 140,067,553,536/169,968
  6. Step 6: Final answer
    x = 824,081.91

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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.