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Finding the Third Proportional to 176,604 and 381,638

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Solution

The third proportional to 176,604 and 381,638 is: 824,712.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,604 : 381,638 = 381,638 : x
  2. Step 2: Convert to fraction form
    176,604/381,638 = 381,638/x
  3. Step 3: Cross multiply
    176,604x = 381,638 × 381,638
  4. Step 4: Simplify right side
    176,604x = 145,647,563,044
  5. Step 5: Solve for x
    x = 145,647,563,044/176,604
  6. Step 6: Final answer
    x = 824,712.71

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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.