Finding the Third Proportional to 207,196 and 457,956
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Solution
The third proportional to 207,196 and 457,956 is: 1,012,199.55
Step by Step Solution
- Step 1: Write the proportion equation
207,196 : 457,956 = 457,956 : x - Step 2: Convert to fraction form
207,196/457,956 = 457,956/x - Step 3: Cross multiply
207,196x = 457,956 × 457,956 - Step 4: Simplify right side
207,196x = 209,723,697,936 - Step 5: Solve for x
x = 209,723,697,936/207,196 - Step 6: Final answer
x = 1,012,199.55
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.