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Finding the Third Proportional to 113,343 and 234,876

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Solution

The third proportional to 113,343 and 234,876 is: 486,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,343 : 234,876 = 234,876 : x
  2. Step 2: Convert to fraction form
    113,343/234,876 = 234,876/x
  3. Step 3: Cross multiply
    113,343x = 234,876 × 234,876
  4. Step 4: Simplify right side
    113,343x = 55,166,735,376
  5. Step 5: Solve for x
    x = 55,166,735,376/113,343
  6. Step 6: Final answer
    x = 486,723.80

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.