Finding the Third Proportional to 200,998.97 and 307,896.19
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Solution
The third proportional to 200,998.97 and 307,896.19 is: 471,644.52
Step by Step Solution
- Step 1: Write the proportion equation
200,998.97 : 307,896.19 = 307,896.19 : x - Step 2: Convert to fraction form
200,998.97/307,896.19 = 307,896.19/x - Step 3: Cross multiply
200,998.97x = 307,896.19 × 307,896.19 - Step 4: Simplify right side
200,998.97x = 94,800,062,277.04 - Step 5: Solve for x
x = 94,800,062,277.04/200,998.97 - Step 6: Final answer
x = 471,644.52
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.