Finding the Third Proportional to 104,102 and 231,496
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Solution
The third proportional to 104,102 and 231,496 is: 514,787.40
Step by Step Solution
- Step 1: Write the proportion equation
104,102 : 231,496 = 231,496 : x - Step 2: Convert to fraction form
104,102/231,496 = 231,496/x - Step 3: Cross multiply
104,102x = 231,496 × 231,496 - Step 4: Simplify right side
104,102x = 53,590,398,016 - Step 5: Solve for x
x = 53,590,398,016/104,102 - Step 6: Final answer
x = 514,787.40
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.