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Finding the Third Proportional to 94,274 and 203,302

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Solution

The third proportional to 94,274 and 203,302 is: 438,421.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,274 : 203,302 = 203,302 : x
  2. Step 2: Convert to fraction form
    94,274/203,302 = 203,302/x
  3. Step 3: Cross multiply
    94,274x = 203,302 × 203,302
  4. Step 4: Simplify right side
    94,274x = 41,331,703,204
  5. Step 5: Solve for x
    x = 41,331,703,204/94,274
  6. Step 6: Final answer
    x = 438,421.02

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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.