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Finding the Third Proportional to 105,192 and 227,232

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Solution

The third proportional to 105,192 and 227,232 is: 490,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,192 : 227,232 = 227,232 : x
  2. Step 2: Convert to fraction form
    105,192/227,232 = 227,232/x
  3. Step 3: Cross multiply
    105,192x = 227,232 × 227,232
  4. Step 4: Simplify right side
    105,192x = 51,634,381,824
  5. Step 5: Solve for x
    x = 51,634,381,824/105,192
  6. Step 6: Final answer
    x = 490,858.45

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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.