Finding the Third Proportional to 278 and 652
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Solution
The third proportional to 278 and 652 is: 1,529.15
Step by Step Solution
- Step 1: Write the proportion equation
278 : 652 = 652 : x - Step 2: Convert to fraction form
278/652 = 652/x - Step 3: Cross multiply
278x = 652 × 652 - Step 4: Simplify right side
278x = 425,104 - Step 5: Solve for x
x = 425,104/278 - Step 6: Final answer
x = 1,529.15
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.