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Finding the Third Proportional to 236,334.38 and 353,676.38

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Solution

The third proportional to 236,334.38 and 353,676.38 is: 529,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,334.38 : 353,676.38 = 353,676.38 : x
  2. Step 2: Convert to fraction form
    236,334.38/353,676.38 = 353,676.38/x
  3. Step 3: Cross multiply
    236,334.38x = 353,676.38 × 353,676.38
  4. Step 4: Simplify right side
    236,334.38x = 125,086,978,233.14
  5. Step 5: Solve for x
    x = 125,086,978,233.14/236,334.38
  6. Step 6: Final answer
    x = 529,279.66

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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.