Finding the Third Proportional to 193,856 and 411,188
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Solution
The third proportional to 193,856 and 411,188 is: 872,170.95
Step by Step Solution
- Step 1: Write the proportion equation
193,856 : 411,188 = 411,188 : x - Step 2: Convert to fraction form
193,856/411,188 = 411,188/x - Step 3: Cross multiply
193,856x = 411,188 × 411,188 - Step 4: Simplify right side
193,856x = 169,075,571,344 - Step 5: Solve for x
x = 169,075,571,344/193,856 - Step 6: Final answer
x = 872,170.95
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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.