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Finding the Third Proportional to 106,229 and 228,247

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Solution

The third proportional to 106,229 and 228,247 is: 490,418.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,229 : 228,247 = 228,247 : x
  2. Step 2: Convert to fraction form
    106,229/228,247 = 228,247/x
  3. Step 3: Cross multiply
    106,229x = 228,247 × 228,247
  4. Step 4: Simplify right side
    106,229x = 52,096,693,009
  5. Step 5: Solve for x
    x = 52,096,693,009/106,229
  6. Step 6: Final answer
    x = 490,418.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.