Finding the Third Proportional to 345 and 648
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Solution
The third proportional to 345 and 648 is: 1,217.11
Step by Step Solution
- Step 1: Write the proportion equation
345 : 648 = 648 : x - Step 2: Convert to fraction form
345/648 = 648/x - Step 3: Cross multiply
345x = 648 × 648 - Step 4: Simplify right side
345x = 419,904 - Step 5: Solve for x
x = 419,904/345 - Step 6: Final answer
x = 1,217.11
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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.