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Finding the Third Proportional to 103,905 and 227,249

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Solution

The third proportional to 103,905 and 227,249 is: 497,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,905 : 227,249 = 227,249 : x
  2. Step 2: Convert to fraction form
    103,905/227,249 = 227,249/x
  3. Step 3: Cross multiply
    103,905x = 227,249 × 227,249
  4. Step 4: Simplify right side
    103,905x = 51,642,108,001
  5. Step 5: Solve for x
    x = 51,642,108,001/103,905
  6. Step 6: Final answer
    x = 497,012.73

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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.