Finding the Third Proportional to 195.75 and 294.75
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Solution
The third proportional to 195.75 and 294.75 is: 443.82
Step by Step Solution
- Step 1: Write the proportion equation
195.75 : 294.75 = 294.75 : x - Step 2: Convert to fraction form
195.75/294.75 = 294.75/x - Step 3: Cross multiply
195.75x = 294.75 × 294.75 - Step 4: Simplify right side
195.75x = 86,877.56 - Step 5: Solve for x
x = 86,877.56/195.75 - Step 6: Final answer
x = 443.82
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.