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Finding the Third Proportional to 171,451.69 and 374,728.78

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Solution

The third proportional to 171,451.69 and 374,728.78 is: 819,015.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,451.69 : 374,728.78 = 374,728.78 : x
  2. Step 2: Convert to fraction form
    171,451.69/374,728.78 = 374,728.78/x
  3. Step 3: Cross multiply
    171,451.69x = 374,728.78 × 374,728.78
  4. Step 4: Simplify right side
    171,451.69x = 140,421,659,497.11
  5. Step 5: Solve for x
    x = 140,421,659,497.11/171,451.69
  6. Step 6: Final answer
    x = 819,015.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.