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Finding the Third Proportional to 105,468 and 227,512

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Solution

The third proportional to 105,468 and 227,512 is: 490,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,468 : 227,512 = 227,512 : x
  2. Step 2: Convert to fraction form
    105,468/227,512 = 227,512/x
  3. Step 3: Cross multiply
    105,468x = 227,512 × 227,512
  4. Step 4: Simplify right side
    105,468x = 51,761,710,144
  5. Step 5: Solve for x
    x = 51,761,710,144/105,468
  6. Step 6: Final answer
    x = 490,781.19

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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.