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Finding the Third Proportional to 103,684 and 226,125

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Solution

The third proportional to 103,684 and 226,125 is: 493,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684 : 226,125 = 226,125 : x
  2. Step 2: Convert to fraction form
    103,684/226,125 = 226,125/x
  3. Step 3: Cross multiply
    103,684x = 226,125 × 226,125
  4. Step 4: Simplify right side
    103,684x = 51,132,515,625
  5. Step 5: Solve for x
    x = 51,132,515,625/103,684
  6. Step 6: Final answer
    x = 493,157.24

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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.