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Finding the Third Proportional to 176,794 and 381,828

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Solution

The third proportional to 176,794 and 381,828 is: 824,646.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,794 : 381,828 = 381,828 : x
  2. Step 2: Convert to fraction form
    176,794/381,828 = 381,828/x
  3. Step 3: Cross multiply
    176,794x = 381,828 × 381,828
  4. Step 4: Simplify right side
    176,794x = 145,792,621,584
  5. Step 5: Solve for x
    x = 145,792,621,584/176,794
  6. Step 6: Final answer
    x = 824,646.89

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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.