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Finding the Third Proportional to 94,261 and 203,278

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Solution

The third proportional to 94,261 and 203,278 is: 438,377.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,261 : 203,278 = 203,278 : x
  2. Step 2: Convert to fraction form
    94,261/203,278 = 203,278/x
  3. Step 3: Cross multiply
    94,261x = 203,278 × 203,278
  4. Step 4: Simplify right side
    94,261x = 41,321,945,284
  5. Step 5: Solve for x
    x = 41,321,945,284/94,261
  6. Step 6: Final answer
    x = 438,377.96

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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.