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Finding the Third Proportional to 105,404 and 248,811

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Solution

The third proportional to 105,404 and 248,811 is: 587,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,404 : 248,811 = 248,811 : x
  2. Step 2: Convert to fraction form
    105,404/248,811 = 248,811/x
  3. Step 3: Cross multiply
    105,404x = 248,811 × 248,811
  4. Step 4: Simplify right side
    105,404x = 61,906,913,721
  5. Step 5: Solve for x
    x = 61,906,913,721/105,404
  6. Step 6: Final answer
    x = 587,329.83

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.