Finding the Third Proportional to 107,714 and 230,090
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Solution
The third proportional to 107,714 and 230,090 is: 491,499.79
Step by Step Solution
- Step 1: Write the proportion equation
107,714 : 230,090 = 230,090 : x - Step 2: Convert to fraction form
107,714/230,090 = 230,090/x - Step 3: Cross multiply
107,714x = 230,090 × 230,090 - Step 4: Simplify right side
107,714x = 52,941,408,100 - Step 5: Solve for x
x = 52,941,408,100/107,714 - Step 6: Final answer
x = 491,499.79
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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.