Finding the Third Proportional to 195,922.50 and 400,146
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Solution
The third proportional to 195,922.50 and 400,146 is: 817,245.70
Step by Step Solution
- Step 1: Write the proportion equation
195,922.50 : 400,146 = 400,146 : x - Step 2: Convert to fraction form
195,922.50/400,146 = 400,146/x - Step 3: Cross multiply
195,922.50x = 400,146 × 400,146 - Step 4: Simplify right side
195,922.50x = 160,116,821,316 - Step 5: Solve for x
x = 160,116,821,316/195,922.50 - Step 6: Final answer
x = 817,245.70
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.