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Finding the Third Proportional to 105,845 and 228,310

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Solution

The third proportional to 105,845 and 228,310 is: 492,469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,845 : 228,310 = 228,310 : x
  2. Step 2: Convert to fraction form
    105,845/228,310 = 228,310/x
  3. Step 3: Cross multiply
    105,845x = 228,310 × 228,310
  4. Step 4: Simplify right side
    105,845x = 52,125,456,100
  5. Step 5: Solve for x
    x = 52,125,456,100/105,845
  6. Step 6: Final answer
    x = 492,469.71

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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.