Finding the Third Proportional to 231 and 457.50
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Solution
The third proportional to 231 and 457.50 is: 906.09
Step by Step Solution
- Step 1: Write the proportion equation
231 : 457.50 = 457.50 : x - Step 2: Convert to fraction form
231/457.50 = 457.50/x - Step 3: Cross multiply
231x = 457.50 × 457.50 - Step 4: Simplify right side
231x = 209,306.25 - Step 5: Solve for x
x = 209,306.25/231 - Step 6: Final answer
x = 906.09
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Why These Related Problems?
These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.