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Finding the Third Proportional to 94,276 and 203,311

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Solution

The third proportional to 94,276 and 203,311 is: 438,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,276 : 203,311 = 203,311 : x
  2. Step 2: Convert to fraction form
    94,276/203,311 = 203,311/x
  3. Step 3: Cross multiply
    94,276x = 203,311 × 203,311
  4. Step 4: Simplify right side
    94,276x = 41,335,362,721
  5. Step 5: Solve for x
    x = 41,335,362,721/94,276
  6. Step 6: Final answer
    x = 438,450.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.