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Finding the Third Proportional to 105,381 and 225,576

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Solution

The third proportional to 105,381 and 225,576 is: 482,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,381 : 225,576 = 225,576 : x
  2. Step 2: Convert to fraction form
    105,381/225,576 = 225,576/x
  3. Step 3: Cross multiply
    105,381x = 225,576 × 225,576
  4. Step 4: Simplify right side
    105,381x = 50,884,531,776
  5. Step 5: Solve for x
    x = 50,884,531,776/105,381
  6. Step 6: Final answer
    x = 482,862.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.