Finding the Third Proportional to 83,136 and 201,264
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Solution
The third proportional to 83,136 and 201,264 is: 487,240.16
Step by Step Solution
- Step 1: Write the proportion equation
83,136 : 201,264 = 201,264 : x - Step 2: Convert to fraction form
83,136/201,264 = 201,264/x - Step 3: Cross multiply
83,136x = 201,264 × 201,264 - Step 4: Simplify right side
83,136x = 40,507,197,696 - Step 5: Solve for x
x = 40,507,197,696/83,136 - Step 6: Final answer
x = 487,240.16
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Why These Related Problems?
These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.