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Finding the Third Proportional to 102,966 and 225,614

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Solution

The third proportional to 102,966 and 225,614 is: 494,354.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,966 : 225,614 = 225,614 : x
  2. Step 2: Convert to fraction form
    102,966/225,614 = 225,614/x
  3. Step 3: Cross multiply
    102,966x = 225,614 × 225,614
  4. Step 4: Simplify right side
    102,966x = 50,901,676,996
  5. Step 5: Solve for x
    x = 50,901,676,996/102,966
  6. Step 6: Final answer
    x = 494,354.22

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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.