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Finding the Third Proportional to 174,853.69 and 270,003.38

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Solution

The third proportional to 174,853.69 and 270,003.38 is: 416,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,853.69 : 270,003.38 = 270,003.38 : x
  2. Step 2: Convert to fraction form
    174,853.69/270,003.38 = 270,003.38/x
  3. Step 3: Cross multiply
    174,853.69x = 270,003.38 × 270,003.38
  4. Step 4: Simplify right side
    174,853.69x = 72,901,822,511.39
  5. Step 5: Solve for x
    x = 72,901,822,511.39/174,853.69
  6. Step 6: Final answer
    x = 416,930.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.