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Finding the Third Proportional to 174,397 and 262,876

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Solution

The third proportional to 174,397 and 262,876 is: 396,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,397 : 262,876 = 262,876 : x
  2. Step 2: Convert to fraction form
    174,397/262,876 = 262,876/x
  3. Step 3: Cross multiply
    174,397x = 262,876 × 262,876
  4. Step 4: Simplify right side
    174,397x = 69,103,791,376
  5. Step 5: Solve for x
    x = 69,103,791,376/174,397
  6. Step 6: Final answer
    x = 396,244.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.