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Finding the Third Proportional to 194,969 and 421,042

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Solution

The third proportional to 194,969 and 421,042 is: 909,254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,969 : 421,042 = 421,042 : x
  2. Step 2: Convert to fraction form
    194,969/421,042 = 421,042/x
  3. Step 3: Cross multiply
    194,969x = 421,042 × 421,042
  4. Step 4: Simplify right side
    194,969x = 177,276,365,764
  5. Step 5: Solve for x
    x = 177,276,365,764/194,969
  6. Step 6: Final answer
    x = 909,254.12

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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.