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Finding the Third Proportional to 175,298 and 376,876

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Solution

The third proportional to 175,298 and 376,876 is: 810,251.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,298 : 376,876 = 376,876 : x
  2. Step 2: Convert to fraction form
    175,298/376,876 = 376,876/x
  3. Step 3: Cross multiply
    175,298x = 376,876 × 376,876
  4. Step 4: Simplify right side
    175,298x = 142,035,519,376
  5. Step 5: Solve for x
    x = 142,035,519,376/175,298
  6. Step 6: Final answer
    x = 810,251.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.