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Finding the Third Proportional to 159,732 and 379,836

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Solution

The third proportional to 159,732 and 379,836 is: 903,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,732 : 379,836 = 379,836 : x
  2. Step 2: Convert to fraction form
    159,732/379,836 = 379,836/x
  3. Step 3: Cross multiply
    159,732x = 379,836 × 379,836
  4. Step 4: Simplify right side
    159,732x = 144,275,386,896
  5. Step 5: Solve for x
    x = 144,275,386,896/159,732
  6. Step 6: Final answer
    x = 903,234.09

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.