Finding the Third Proportional to 106,063.50 and 230,814
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Solution
The third proportional to 106,063.50 and 230,814 is: 502,294.40
Step by Step Solution
- Step 1: Write the proportion equation
106,063.50 : 230,814 = 230,814 : x - Step 2: Convert to fraction form
106,063.50/230,814 = 230,814/x - Step 3: Cross multiply
106,063.50x = 230,814 × 230,814 - Step 4: Simplify right side
106,063.50x = 53,275,102,596 - Step 5: Solve for x
x = 53,275,102,596/106,063.50 - Step 6: Final answer
x = 502,294.40
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.