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Finding the Third Proportional to 176,764 and 381,767

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Solution

The third proportional to 176,764 and 381,767 is: 824,523.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,764 : 381,767 = 381,767 : x
  2. Step 2: Convert to fraction form
    176,764/381,767 = 381,767/x
  3. Step 3: Cross multiply
    176,764x = 381,767 × 381,767
  4. Step 4: Simplify right side
    176,764x = 145,746,042,289
  5. Step 5: Solve for x
    x = 145,746,042,289/176,764
  6. Step 6: Final answer
    x = 824,523.33

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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.