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Finding the Third Proportional to 104,242 and 203,299

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Solution

The third proportional to 104,242 and 203,299 is: 396,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,242 : 203,299 = 203,299 : x
  2. Step 2: Convert to fraction form
    104,242/203,299 = 203,299/x
  3. Step 3: Cross multiply
    104,242x = 203,299 × 203,299
  4. Step 4: Simplify right side
    104,242x = 41,330,483,401
  5. Step 5: Solve for x
    x = 41,330,483,401/104,242
  6. Step 6: Final answer
    x = 396,485.90

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.