Finding the Third Proportional to 196,187.50 and 436,790
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Solution
The third proportional to 196,187.50 and 436,790 is: 972,465.14
Step by Step Solution
- Step 1: Write the proportion equation
196,187.50 : 436,790 = 436,790 : x - Step 2: Convert to fraction form
196,187.50/436,790 = 436,790/x - Step 3: Cross multiply
196,187.50x = 436,790 × 436,790 - Step 4: Simplify right side
196,187.50x = 190,785,504,100 - Step 5: Solve for x
x = 190,785,504,100/196,187.50 - Step 6: Final answer
x = 972,465.14
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Why These Related Problems?
These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.