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Finding the Third Proportional to 168,997 and 263,196

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Solution

The third proportional to 168,997 and 263,196 is: 409,901.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,997 : 263,196 = 263,196 : x
  2. Step 2: Convert to fraction form
    168,997/263,196 = 263,196/x
  3. Step 3: Cross multiply
    168,997x = 263,196 × 263,196
  4. Step 4: Simplify right side
    168,997x = 69,272,134,416
  5. Step 5: Solve for x
    x = 69,272,134,416/168,997
  6. Step 6: Final answer
    x = 409,901.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.