Finding the Third Proportional to 204 and 380.50
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Solution
The third proportional to 204 and 380.50 is: 709.71
Step by Step Solution
- Step 1: Write the proportion equation
204 : 380.50 = 380.50 : x - Step 2: Convert to fraction form
204/380.50 = 380.50/x - Step 3: Cross multiply
204x = 380.50 × 380.50 - Step 4: Simplify right side
204x = 144,780.25 - Step 5: Solve for x
x = 144,780.25/204 - Step 6: Final answer
x = 709.71
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These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.