Finding the Third Proportional to 74,198.25 and 174,976
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Solution
The third proportional to 74,198.25 and 174,976 is: 412,632.38
Step by Step Solution
- Step 1: Write the proportion equation
74,198.25 : 174,976 = 174,976 : x - Step 2: Convert to fraction form
74,198.25/174,976 = 174,976/x - Step 3: Cross multiply
74,198.25x = 174,976 × 174,976 - Step 4: Simplify right side
74,198.25x = 30,616,600,576 - Step 5: Solve for x
x = 30,616,600,576/74,198.25 - Step 6: Final answer
x = 412,632.38
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.