Finding the Third Proportional to 105,860 and 229,000
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Solution
The third proportional to 105,860 and 229,000 is: 495,380.69
Step by Step Solution
- Step 1: Write the proportion equation
105,860 : 229,000 = 229,000 : x - Step 2: Convert to fraction form
105,860/229,000 = 229,000/x - Step 3: Cross multiply
105,860x = 229,000 × 229,000 - Step 4: Simplify right side
105,860x = 52,441,000,000 - Step 5: Solve for x
x = 52,441,000,000/105,860 - Step 6: Final answer
x = 495,380.69
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.