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Finding the Third Proportional to 105,876 and 232,479

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Solution

The third proportional to 105,876 and 232,479 is: 510,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,876 : 232,479 = 232,479 : x
  2. Step 2: Convert to fraction form
    105,876/232,479 = 232,479/x
  3. Step 3: Cross multiply
    105,876x = 232,479 × 232,479
  4. Step 4: Simplify right side
    105,876x = 54,046,485,441
  5. Step 5: Solve for x
    x = 54,046,485,441/105,876
  6. Step 6: Final answer
    x = 510,469.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.