Finding the Third Proportional to 311.25 and 494.25
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Solution
The third proportional to 311.25 and 494.25 is: 784.85
Step by Step Solution
- Step 1: Write the proportion equation
311.25 : 494.25 = 494.25 : x - Step 2: Convert to fraction form
311.25/494.25 = 494.25/x - Step 3: Cross multiply
311.25x = 494.25 × 494.25 - Step 4: Simplify right side
311.25x = 244,283.06 - Step 5: Solve for x
x = 244,283.06/311.25 - Step 6: Final answer
x = 784.85
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.