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Finding the Third Proportional to 236,401 and 353,765

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Solution

The third proportional to 236,401 and 353,765 is: 529,395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,401 : 353,765 = 353,765 : x
  2. Step 2: Convert to fraction form
    236,401/353,765 = 353,765/x
  3. Step 3: Cross multiply
    236,401x = 353,765 × 353,765
  4. Step 4: Simplify right side
    236,401x = 125,149,675,225
  5. Step 5: Solve for x
    x = 125,149,675,225/236,401
  6. Step 6: Final answer
    x = 529,395.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.