Finding the Third Proportional to 196,392 and 431,016
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Solution
The third proportional to 196,392 and 431,016 is: 945,938.70
Step by Step Solution
- Step 1: Write the proportion equation
196,392 : 431,016 = 431,016 : x - Step 2: Convert to fraction form
196,392/431,016 = 431,016/x - Step 3: Cross multiply
196,392x = 431,016 × 431,016 - Step 4: Simplify right side
196,392x = 185,774,792,256 - Step 5: Solve for x
x = 185,774,792,256/196,392 - Step 6: Final answer
x = 945,938.70
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.