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Finding the Third Proportional to 196,968 and 421,944

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Solution

The third proportional to 196,968 and 421,944 is: 903,886.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,968 : 421,944 = 421,944 : x
  2. Step 2: Convert to fraction form
    196,968/421,944 = 421,944/x
  3. Step 3: Cross multiply
    196,968x = 421,944 × 421,944
  4. Step 4: Simplify right side
    196,968x = 178,036,739,136
  5. Step 5: Solve for x
    x = 178,036,739,136/196,968
  6. Step 6: Final answer
    x = 903,886.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.