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Finding the Third Proportional to 195,918 and 408,792

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Solution

The third proportional to 195,918 and 408,792 is: 852,963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,918 : 408,792 = 408,792 : x
  2. Step 2: Convert to fraction form
    195,918/408,792 = 408,792/x
  3. Step 3: Cross multiply
    195,918x = 408,792 × 408,792
  4. Step 4: Simplify right side
    195,918x = 167,110,899,264
  5. Step 5: Solve for x
    x = 167,110,899,264/195,918
  6. Step 6: Final answer
    x = 852,963.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.