Finding the Third Proportional to 196,208 and 310,896
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Solution
The third proportional to 196,208 and 310,896 is: 492,621.72
Step by Step Solution
- Step 1: Write the proportion equation
196,208 : 310,896 = 310,896 : x - Step 2: Convert to fraction form
196,208/310,896 = 310,896/x - Step 3: Cross multiply
196,208x = 310,896 × 310,896 - Step 4: Simplify right side
196,208x = 96,656,322,816 - Step 5: Solve for x
x = 96,656,322,816/196,208 - Step 6: Final answer
x = 492,621.72
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.