Finding the Third Proportional to 266.25 and 427.50
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Solution
The third proportional to 266.25 and 427.50 is: 686.41
Step by Step Solution
- Step 1: Write the proportion equation
266.25 : 427.50 = 427.50 : x - Step 2: Convert to fraction form
266.25/427.50 = 427.50/x - Step 3: Cross multiply
266.25x = 427.50 × 427.50 - Step 4: Simplify right side
266.25x = 182,756.25 - Step 5: Solve for x
x = 182,756.25/266.25 - Step 6: Final answer
x = 686.41
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.