Finding the Third Proportional to 144 and 372
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Solution
The third proportional to 144 and 372 is: 961
Step by Step Solution
- Step 1: Write the proportion equation
144 : 372 = 372 : x - Step 2: Convert to fraction form
144/372 = 372/x - Step 3: Cross multiply
144x = 372 × 372 - Step 4: Simplify right side
144x = 138,384 - Step 5: Solve for x
x = 138,384/144 - Step 6: Final answer
x = 961
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Why These Related Problems?
These problems maintain the same ratio (2.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.