Finding the Third Proportional to 270.25 and 563
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Solution
The third proportional to 270.25 and 563 is: 1,172.87
Step by Step Solution
- Step 1: Write the proportion equation
270.25 : 563 = 563 : x - Step 2: Convert to fraction form
270.25/563 = 563/x - Step 3: Cross multiply
270.25x = 563 × 563 - Step 4: Simplify right side
270.25x = 316,969 - Step 5: Solve for x
x = 316,969/270.25 - Step 6: Final answer
x = 1,172.87
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.