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Finding the Third Proportional to 105,846 and 228,311

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Solution

The third proportional to 105,846 and 228,311 is: 492,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,846 : 228,311 = 228,311 : x
  2. Step 2: Convert to fraction form
    105,846/228,311 = 228,311/x
  3. Step 3: Cross multiply
    105,846x = 228,311 × 228,311
  4. Step 4: Simplify right side
    105,846x = 52,125,912,721
  5. Step 5: Solve for x
    x = 52,125,912,721/105,846
  6. Step 6: Final answer
    x = 492,469.37

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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.