Finding the Third Proportional to 96,288 and 201,324
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Solution
The third proportional to 96,288 and 201,324 is: 420,938.78
Step by Step Solution
- Step 1: Write the proportion equation
96,288 : 201,324 = 201,324 : x - Step 2: Convert to fraction form
96,288/201,324 = 201,324/x - Step 3: Cross multiply
96,288x = 201,324 × 201,324 - Step 4: Simplify right side
96,288x = 40,531,352,976 - Step 5: Solve for x
x = 40,531,352,976/96,288 - Step 6: Final answer
x = 420,938.78
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.