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Finding the Third Proportional to 110,412 and 240,876

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Solution

The third proportional to 110,412 and 240,876 is: 525,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,412 : 240,876 = 240,876 : x
  2. Step 2: Convert to fraction form
    110,412/240,876 = 240,876/x
  3. Step 3: Cross multiply
    110,412x = 240,876 × 240,876
  4. Step 4: Simplify right side
    110,412x = 58,021,247,376
  5. Step 5: Solve for x
    x = 58,021,247,376/110,412
  6. Step 6: Final answer
    x = 525,497.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.