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Finding the Third Proportional to 104,696 and 227,232

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Solution

The third proportional to 104,696 and 227,232 is: 493,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,696 : 227,232 = 227,232 : x
  2. Step 2: Convert to fraction form
    104,696/227,232 = 227,232/x
  3. Step 3: Cross multiply
    104,696x = 227,232 × 227,232
  4. Step 4: Simplify right side
    104,696x = 51,634,381,824
  5. Step 5: Solve for x
    x = 51,634,381,824/104,696
  6. Step 6: Final answer
    x = 493,183.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.