Finding the Third Proportional to 204 and 412
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Solution
The third proportional to 204 and 412 is: 832.08
Step by Step Solution
- Step 1: Write the proportion equation
204 : 412 = 412 : x - Step 2: Convert to fraction form
204/412 = 412/x - Step 3: Cross multiply
204x = 412 × 412 - Step 4: Simplify right side
204x = 169,744 - Step 5: Solve for x
x = 169,744/204 - Step 6: Final answer
x = 832.08
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These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.