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Finding the Third Proportional to 94,274 and 205,162

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Solution

The third proportional to 94,274 and 205,162 is: 446,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,274 : 205,162 = 205,162 : x
  2. Step 2: Convert to fraction form
    94,274/205,162 = 205,162/x
  3. Step 3: Cross multiply
    94,274x = 205,162 × 205,162
  4. Step 4: Simplify right side
    94,274x = 42,091,446,244
  5. Step 5: Solve for x
    x = 42,091,446,244/94,274
  6. Step 6: Final answer
    x = 446,479.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.