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Finding the Third Proportional to 174,997 and 270,696

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Solution

The third proportional to 174,997 and 270,696 is: 418,729.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,997 : 270,696 = 270,696 : x
  2. Step 2: Convert to fraction form
    174,997/270,696 = 270,696/x
  3. Step 3: Cross multiply
    174,997x = 270,696 × 270,696
  4. Step 4: Simplify right side
    174,997x = 73,276,324,416
  5. Step 5: Solve for x
    x = 73,276,324,416/174,997
  6. Step 6: Final answer
    x = 418,729.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.