Finding the Third Proportional to 180,414 and 256,443
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Solution
The third proportional to 180,414 and 256,443 is: 364,511.69
Step by Step Solution
- Step 1: Write the proportion equation
180,414 : 256,443 = 256,443 : x - Step 2: Convert to fraction form
180,414/256,443 = 256,443/x - Step 3: Cross multiply
180,414x = 256,443 × 256,443 - Step 4: Simplify right side
180,414x = 65,763,012,249 - Step 5: Solve for x
x = 65,763,012,249/180,414 - Step 6: Final answer
x = 364,511.69
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Why These Related Problems?
These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.