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Finding the Third Proportional to 171,684 and 372,923

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Solution

The third proportional to 171,684 and 372,923 is: 810,043.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,684 : 372,923 = 372,923 : x
  2. Step 2: Convert to fraction form
    171,684/372,923 = 372,923/x
  3. Step 3: Cross multiply
    171,684x = 372,923 × 372,923
  4. Step 4: Simplify right side
    171,684x = 139,071,563,929
  5. Step 5: Solve for x
    x = 139,071,563,929/171,684
  6. Step 6: Final answer
    x = 810,043.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.