Finding the Third Proportional to 202,175 and 313,114
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Solution
The third proportional to 202,175 and 313,114 is: 484,928.29
Step by Step Solution
- Step 1: Write the proportion equation
202,175 : 313,114 = 313,114 : x - Step 2: Convert to fraction form
202,175/313,114 = 313,114/x - Step 3: Cross multiply
202,175x = 313,114 × 313,114 - Step 4: Simplify right side
202,175x = 98,040,376,996 - Step 5: Solve for x
x = 98,040,376,996/202,175 - Step 6: Final answer
x = 484,928.29
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.