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Finding the Third Proportional to 111,690 and 240,876

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Solution

The third proportional to 111,690 and 240,876 is: 519,484.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,690 : 240,876 = 240,876 : x
  2. Step 2: Convert to fraction form
    111,690/240,876 = 240,876/x
  3. Step 3: Cross multiply
    111,690x = 240,876 × 240,876
  4. Step 4: Simplify right side
    111,690x = 58,021,247,376
  5. Step 5: Solve for x
    x = 58,021,247,376/111,690
  6. Step 6: Final answer
    x = 519,484.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.