Finding the Third Proportional to 109,382 and 233,930
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Solution
The third proportional to 109,382 and 233,930 is: 500,294.79
Step by Step Solution
- Step 1: Write the proportion equation
109,382 : 233,930 = 233,930 : x - Step 2: Convert to fraction form
109,382/233,930 = 233,930/x - Step 3: Cross multiply
109,382x = 233,930 × 233,930 - Step 4: Simplify right side
109,382x = 54,723,244,900 - Step 5: Solve for x
x = 54,723,244,900/109,382 - Step 6: Final answer
x = 500,294.79
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.