Finding the Third Proportional to 231,158 and 506,380
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Solution
The third proportional to 231,158 and 506,380 is: 1,109,287.61
Step by Step Solution
- Step 1: Write the proportion equation
231,158 : 506,380 = 506,380 : x - Step 2: Convert to fraction form
231,158/506,380 = 506,380/x - Step 3: Cross multiply
231,158x = 506,380 × 506,380 - Step 4: Simplify right side
231,158x = 256,420,704,400 - Step 5: Solve for x
x = 256,420,704,400/231,158 - Step 6: Final answer
x = 1,109,287.61
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.