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Finding the Third Proportional to 194,147 and 426,362

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Solution

The third proportional to 194,147 and 426,362 is: 936,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,147 : 426,362 = 426,362 : x
  2. Step 2: Convert to fraction form
    194,147/426,362 = 426,362/x
  3. Step 3: Cross multiply
    194,147x = 426,362 × 426,362
  4. Step 4: Simplify right side
    194,147x = 181,784,555,044
  5. Step 5: Solve for x
    x = 181,784,555,044/194,147
  6. Step 6: Final answer
    x = 936,324.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.