Finding the Third Proportional to 204,034 and 286,816
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Solution
The third proportional to 204,034 and 286,816 is: 403,184.85
Step by Step Solution
- Step 1: Write the proportion equation
204,034 : 286,816 = 286,816 : x - Step 2: Convert to fraction form
204,034/286,816 = 286,816/x - Step 3: Cross multiply
204,034x = 286,816 × 286,816 - Step 4: Simplify right side
204,034x = 82,263,417,856 - Step 5: Solve for x
x = 82,263,417,856/204,034 - Step 6: Final answer
x = 403,184.85
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.