Finding the Third Proportional to 196,206 and 410,178
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Solution
The third proportional to 196,206 and 410,178 is: 857,496.67
Step by Step Solution
- Step 1: Write the proportion equation
196,206 : 410,178 = 410,178 : x - Step 2: Convert to fraction form
196,206/410,178 = 410,178/x - Step 3: Cross multiply
196,206x = 410,178 × 410,178 - Step 4: Simplify right side
196,206x = 168,245,991,684 - Step 5: Solve for x
x = 168,245,991,684/196,206 - Step 6: Final answer
x = 857,496.67
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.