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Finding the Third Proportional to 176,112 and 380,936

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Solution

The third proportional to 176,112 and 380,936 is: 823,976.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,112 : 380,936 = 380,936 : x
  2. Step 2: Convert to fraction form
    176,112/380,936 = 380,936/x
  3. Step 3: Cross multiply
    176,112x = 380,936 × 380,936
  4. Step 4: Simplify right side
    176,112x = 145,112,236,096
  5. Step 5: Solve for x
    x = 145,112,236,096/176,112
  6. Step 6: Final answer
    x = 823,976.99

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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.