Finding the Third Proportional to 135,733 and 289,491
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Solution
The third proportional to 135,733 and 289,491 is: 617,425.67
Step by Step Solution
- Step 1: Write the proportion equation
135,733 : 289,491 = 289,491 : x - Step 2: Convert to fraction form
135,733/289,491 = 289,491/x - Step 3: Cross multiply
135,733x = 289,491 × 289,491 - Step 4: Simplify right side
135,733x = 83,805,039,081 - Step 5: Solve for x
x = 83,805,039,081/135,733 - Step 6: Final answer
x = 617,425.67
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.