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Finding the Third Proportional to 95,337 and 203,343

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Solution

The third proportional to 95,337 and 203,343 is: 433,707.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,337 : 203,343 = 203,343 : x
  2. Step 2: Convert to fraction form
    95,337/203,343 = 203,343/x
  3. Step 3: Cross multiply
    95,337x = 203,343 × 203,343
  4. Step 4: Simplify right side
    95,337x = 41,348,375,649
  5. Step 5: Solve for x
    x = 41,348,375,649/95,337
  6. Step 6: Final answer
    x = 433,707.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.