Finding the Third Proportional to 180,315 and 285,524
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Solution
The third proportional to 180,315 and 285,524 is: 452,119.65
Step by Step Solution
- Step 1: Write the proportion equation
180,315 : 285,524 = 285,524 : x - Step 2: Convert to fraction form
180,315/285,524 = 285,524/x - Step 3: Cross multiply
180,315x = 285,524 × 285,524 - Step 4: Simplify right side
180,315x = 81,523,954,576 - Step 5: Solve for x
x = 81,523,954,576/180,315 - Step 6: Final answer
x = 452,119.65
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Why These Related Problems?
These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.