Finding the Third Proportional to 231,046 and 309,049
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Solution
The third proportional to 231,046 and 309,049 is: 413,386.44
Step by Step Solution
- Step 1: Write the proportion equation
231,046 : 309,049 = 309,049 : x - Step 2: Convert to fraction form
231,046/309,049 = 309,049/x - Step 3: Cross multiply
231,046x = 309,049 × 309,049 - Step 4: Simplify right side
231,046x = 95,511,284,401 - Step 5: Solve for x
x = 95,511,284,401/231,046 - Step 6: Final answer
x = 413,386.44
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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.