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Finding the Third Proportional to 171,704.81 and 372,951.42

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Solution

The third proportional to 171,704.81 and 372,951.42 is: 810,069.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,704.81 : 372,951.42 = 372,951.42 : x
  2. Step 2: Convert to fraction form
    171,704.81/372,951.42 = 372,951.42/x
  3. Step 3: Cross multiply
    171,704.81x = 372,951.42 × 372,951.42
  4. Step 4: Simplify right side
    171,704.81x = 139,092,763,078.58
  5. Step 5: Solve for x
    x = 139,092,763,078.58/171,704.81
  6. Step 6: Final answer
    x = 810,069.10

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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.