Finding the Third Proportional to 146 and 316
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Solution
The third proportional to 146 and 316 is: 683.95
Step by Step Solution
- Step 1: Write the proportion equation
146 : 316 = 316 : x - Step 2: Convert to fraction form
146/316 = 316/x - Step 3: Cross multiply
146x = 316 × 316 - Step 4: Simplify right side
146x = 99,856 - Step 5: Solve for x
x = 99,856/146 - Step 6: Final answer
x = 683.95
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.