Finding the Third Proportional to 197,450 and 282,158
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Solution
The third proportional to 197,450 and 282,158 is: 403,206.57
Step by Step Solution
- Step 1: Write the proportion equation
197,450 : 282,158 = 282,158 : x - Step 2: Convert to fraction form
197,450/282,158 = 282,158/x - Step 3: Cross multiply
197,450x = 282,158 × 282,158 - Step 4: Simplify right side
197,450x = 79,613,136,964 - Step 5: Solve for x
x = 79,613,136,964/197,450 - Step 6: Final answer
x = 403,206.57
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.