Finding the Third Proportional to 204,782 and 305,595
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Solution
The third proportional to 204,782 and 305,595 is: 456,037.66
Step by Step Solution
- Step 1: Write the proportion equation
204,782 : 305,595 = 305,595 : x - Step 2: Convert to fraction form
204,782/305,595 = 305,595/x - Step 3: Cross multiply
204,782x = 305,595 × 305,595 - Step 4: Simplify right side
204,782x = 93,388,304,025 - Step 5: Solve for x
x = 93,388,304,025/204,782 - Step 6: Final answer
x = 456,037.66
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.