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Finding the Third Proportional to 103,749 and 226,614

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Solution

The third proportional to 103,749 and 226,614 is: 494,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,749 : 226,614 = 226,614 : x
  2. Step 2: Convert to fraction form
    103,749/226,614 = 226,614/x
  3. Step 3: Cross multiply
    103,749x = 226,614 × 226,614
  4. Step 4: Simplify right side
    103,749x = 51,353,904,996
  5. Step 5: Solve for x
    x = 51,353,904,996/103,749
  6. Step 6: Final answer
    x = 494,982.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.