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Finding the Third Proportional to 95,287.50 and 203,238

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Solution

The third proportional to 95,287.50 and 203,238 is: 433,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,287.50 : 203,238 = 203,238 : x
  2. Step 2: Convert to fraction form
    95,287.50/203,238 = 203,238/x
  3. Step 3: Cross multiply
    95,287.50x = 203,238 × 203,238
  4. Step 4: Simplify right side
    95,287.50x = 41,305,684,644
  5. Step 5: Solve for x
    x = 41,305,684,644/95,287.50
  6. Step 6: Final answer
    x = 433,484.82

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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.