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Finding the Third Proportional to 167,956 and 257,718

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Solution

The third proportional to 167,956 and 257,718 is: 395,452.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,956 : 257,718 = 257,718 : x
  2. Step 2: Convert to fraction form
    167,956/257,718 = 257,718/x
  3. Step 3: Cross multiply
    167,956x = 257,718 × 257,718
  4. Step 4: Simplify right side
    167,956x = 66,418,567,524
  5. Step 5: Solve for x
    x = 66,418,567,524/167,956
  6. Step 6: Final answer
    x = 395,452.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.