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Finding the Third Proportional to 173,816 and 262,569

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Solution

The third proportional to 173,816 and 262,569 is: 396,640.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,816 : 262,569 = 262,569 : x
  2. Step 2: Convert to fraction form
    173,816/262,569 = 262,569/x
  3. Step 3: Cross multiply
    173,816x = 262,569 × 262,569
  4. Step 4: Simplify right side
    173,816x = 68,942,479,761
  5. Step 5: Solve for x
    x = 68,942,479,761/173,816
  6. Step 6: Final answer
    x = 396,640.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.