Finding the Third Proportional to 196,546.50 and 408,645
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Solution
The third proportional to 196,546.50 and 408,645 is: 849,624.57
Step by Step Solution
- Step 1: Write the proportion equation
196,546.50 : 408,645 = 408,645 : x - Step 2: Convert to fraction form
196,546.50/408,645 = 408,645/x - Step 3: Cross multiply
196,546.50x = 408,645 × 408,645 - Step 4: Simplify right side
196,546.50x = 166,990,736,025 - Step 5: Solve for x
x = 166,990,736,025/196,546.50 - Step 6: Final answer
x = 849,624.57
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.