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Finding the Third Proportional to 176,796 and 381,834

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Solution

The third proportional to 176,796 and 381,834 is: 824,663.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,796 : 381,834 = 381,834 : x
  2. Step 2: Convert to fraction form
    176,796/381,834 = 381,834/x
  3. Step 3: Cross multiply
    176,796x = 381,834 × 381,834
  4. Step 4: Simplify right side
    176,796x = 145,797,203,556
  5. Step 5: Solve for x
    x = 145,797,203,556/176,796
  6. Step 6: Final answer
    x = 824,663.47

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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.