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Finding the Third Proportional to 180,597.75 and 395,451.75

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Solution

The third proportional to 180,597.75 and 395,451.75 is: 865,913.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,597.75 : 395,451.75 = 395,451.75 : x
  2. Step 2: Convert to fraction form
    180,597.75/395,451.75 = 395,451.75/x
  3. Step 3: Cross multiply
    180,597.75x = 395,451.75 × 395,451.75
  4. Step 4: Simplify right side
    180,597.75x = 156,382,086,578.06
  5. Step 5: Solve for x
    x = 156,382,086,578.06/180,597.75
  6. Step 6: Final answer
    x = 865,913.81

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