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Finding the Third Proportional to 171,878 and 370,086

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Solution

The third proportional to 171,878 and 370,086 is: 796,865.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,878 : 370,086 = 370,086 : x
  2. Step 2: Convert to fraction form
    171,878/370,086 = 370,086/x
  3. Step 3: Cross multiply
    171,878x = 370,086 × 370,086
  4. Step 4: Simplify right side
    171,878x = 136,963,647,396
  5. Step 5: Solve for x
    x = 136,963,647,396/171,878
  6. Step 6: Final answer
    x = 796,865.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.