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Finding the Third Proportional to 194,613 and 421,212

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Solution

The third proportional to 194,613 and 421,212 is: 911,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,613 : 421,212 = 421,212 : x
  2. Step 2: Convert to fraction form
    194,613/421,212 = 421,212/x
  3. Step 3: Cross multiply
    194,613x = 421,212 × 421,212
  4. Step 4: Simplify right side
    194,613x = 177,419,548,944
  5. Step 5: Solve for x
    x = 177,419,548,944/194,613
  6. Step 6: Final answer
    x = 911,653.12

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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.