Finding the Third Proportional to 204,314 and 433,200
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Solution
The third proportional to 204,314 and 433,200 is: 918,499.17
Step by Step Solution
- Step 1: Write the proportion equation
204,314 : 433,200 = 433,200 : x - Step 2: Convert to fraction form
204,314/433,200 = 433,200/x - Step 3: Cross multiply
204,314x = 433,200 × 433,200 - Step 4: Simplify right side
204,314x = 187,662,240,000 - Step 5: Solve for x
x = 187,662,240,000/204,314 - Step 6: Final answer
x = 918,499.17
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.