Finding the Third Proportional to 211,752 and 465,000
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Solution
The third proportional to 211,752 and 465,000 is: 1,021,123.77
Step by Step Solution
- Step 1: Write the proportion equation
211,752 : 465,000 = 465,000 : x - Step 2: Convert to fraction form
211,752/465,000 = 465,000/x - Step 3: Cross multiply
211,752x = 465,000 × 465,000 - Step 4: Simplify right side
211,752x = 216,225,000,000 - Step 5: Solve for x
x = 216,225,000,000/211,752 - Step 6: Final answer
x = 1,021,123.77
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.