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Finding the Third Proportional to 194,071 and 421,796

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Solution

The third proportional to 194,071 and 421,796 is: 916,735.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,071 : 421,796 = 421,796 : x
  2. Step 2: Convert to fraction form
    194,071/421,796 = 421,796/x
  3. Step 3: Cross multiply
    194,071x = 421,796 × 421,796
  4. Step 4: Simplify right side
    194,071x = 177,911,865,616
  5. Step 5: Solve for x
    x = 177,911,865,616/194,071
  6. Step 6: Final answer
    x = 916,735.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.