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Finding the Third Proportional to 95,266 and 203,185

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Solution

The third proportional to 95,266 and 203,185 is: 433,356.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,266 : 203,185 = 203,185 : x
  2. Step 2: Convert to fraction form
    95,266/203,185 = 203,185/x
  3. Step 3: Cross multiply
    95,266x = 203,185 × 203,185
  4. Step 4: Simplify right side
    95,266x = 41,284,144,225
  5. Step 5: Solve for x
    x = 41,284,144,225/95,266
  6. Step 6: Final answer
    x = 433,356.54

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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.