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Finding the Third Proportional to 169,544 and 258,876

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Solution

The third proportional to 169,544 and 258,876 is: 395,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,544 : 258,876 = 258,876 : x
  2. Step 2: Convert to fraction form
    169,544/258,876 = 258,876/x
  3. Step 3: Cross multiply
    169,544x = 258,876 × 258,876
  4. Step 4: Simplify right side
    169,544x = 67,016,783,376
  5. Step 5: Solve for x
    x = 67,016,783,376/169,544
  6. Step 6: Final answer
    x = 395,276.64

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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.