Finding the Third Proportional to 180,516 and 269,734
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Solution
The third proportional to 180,516 and 269,734 is: 403,046.99
Step by Step Solution
- Step 1: Write the proportion equation
180,516 : 269,734 = 269,734 : x - Step 2: Convert to fraction form
180,516/269,734 = 269,734/x - Step 3: Cross multiply
180,516x = 269,734 × 269,734 - Step 4: Simplify right side
180,516x = 72,756,430,756 - Step 5: Solve for x
x = 72,756,430,756/180,516 - Step 6: Final answer
x = 403,046.99
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.