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Finding the Third Proportional to 110,489 and 241,876

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Solution

The third proportional to 110,489 and 241,876 is: 529,500.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,489 : 241,876 = 241,876 : x
  2. Step 2: Convert to fraction form
    110,489/241,876 = 241,876/x
  3. Step 3: Cross multiply
    110,489x = 241,876 × 241,876
  4. Step 4: Simplify right side
    110,489x = 58,503,999,376
  5. Step 5: Solve for x
    x = 58,503,999,376/110,489
  6. Step 6: Final answer
    x = 529,500.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.