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Finding the Third Proportional to 192,752 and 408,832

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Solution

The third proportional to 192,752 and 408,832 is: 867,143.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,752 : 408,832 = 408,832 : x
  2. Step 2: Convert to fraction form
    192,752/408,832 = 408,832/x
  3. Step 3: Cross multiply
    192,752x = 408,832 × 408,832
  4. Step 4: Simplify right side
    192,752x = 167,143,604,224
  5. Step 5: Solve for x
    x = 167,143,604,224/192,752
  6. Step 6: Final answer
    x = 867,143.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.