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Finding the Third Proportional to 103,724.25 and 226,299

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Solution

The third proportional to 103,724.25 and 226,299 is: 493,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,724.25 : 226,299 = 226,299 : x
  2. Step 2: Convert to fraction form
    103,724.25/226,299 = 226,299/x
  3. Step 3: Cross multiply
    103,724.25x = 226,299 × 226,299
  4. Step 4: Simplify right side
    103,724.25x = 51,211,237,401
  5. Step 5: Solve for x
    x = 51,211,237,401/103,724.25
  6. Step 6: Final answer
    x = 493,724.83

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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.