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Finding the Third Proportional to 101,298 and 219,876

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Solution

The third proportional to 101,298 and 219,876 is: 477,259.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,298 : 219,876 = 219,876 : x
  2. Step 2: Convert to fraction form
    101,298/219,876 = 219,876/x
  3. Step 3: Cross multiply
    101,298x = 219,876 × 219,876
  4. Step 4: Simplify right side
    101,298x = 48,345,455,376
  5. Step 5: Solve for x
    x = 48,345,455,376/101,298
  6. Step 6: Final answer
    x = 477,259.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.