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Finding the Third Proportional to 236,353 and 339,765

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Solution

The third proportional to 236,353 and 339,765 is: 488,423.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,353 : 339,765 = 339,765 : x
  2. Step 2: Convert to fraction form
    236,353/339,765 = 339,765/x
  3. Step 3: Cross multiply
    236,353x = 339,765 × 339,765
  4. Step 4: Simplify right side
    236,353x = 115,440,255,225
  5. Step 5: Solve for x
    x = 115,440,255,225/236,353
  6. Step 6: Final answer
    x = 488,423.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.