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Finding the Third Proportional to 103,910 and 227,258

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Solution

The third proportional to 103,910 and 227,258 is: 497,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,910 : 227,258 = 227,258 : x
  2. Step 2: Convert to fraction form
    103,910/227,258 = 227,258/x
  3. Step 3: Cross multiply
    103,910x = 227,258 × 227,258
  4. Step 4: Simplify right side
    103,910x = 51,646,198,564
  5. Step 5: Solve for x
    x = 51,646,198,564/103,910
  6. Step 6: Final answer
    x = 497,028.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.