Finding the Third Proportional to 264 and 560
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Solution
The third proportional to 264 and 560 is: 1,187.88
Step by Step Solution
- Step 1: Write the proportion equation
264 : 560 = 560 : x - Step 2: Convert to fraction form
264/560 = 560/x - Step 3: Cross multiply
264x = 560 × 560 - Step 4: Simplify right side
264x = 313,600 - Step 5: Solve for x
x = 313,600/264 - Step 6: Final answer
x = 1,187.88
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.