Finding the Third Proportional to 142,478 and 202,517
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Solution
The third proportional to 142,478 and 202,517 is: 287,855.92
Step by Step Solution
- Step 1: Write the proportion equation
142,478 : 202,517 = 202,517 : x - Step 2: Convert to fraction form
142,478/202,517 = 202,517/x - Step 3: Cross multiply
142,478x = 202,517 × 202,517 - Step 4: Simplify right side
142,478x = 41,013,135,289 - Step 5: Solve for x
x = 41,013,135,289/142,478 - Step 6: Final answer
x = 287,855.92
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.