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Finding the Third Proportional to 194,211 and 262,394

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Solution

The third proportional to 194,211 and 262,394 is: 354,514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,211 : 262,394 = 262,394 : x
  2. Step 2: Convert to fraction form
    194,211/262,394 = 262,394/x
  3. Step 3: Cross multiply
    194,211x = 262,394 × 262,394
  4. Step 4: Simplify right side
    194,211x = 68,850,611,236
  5. Step 5: Solve for x
    x = 68,850,611,236/194,211
  6. Step 6: Final answer
    x = 354,514.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.