Finding the Third Proportional to 242,736 and 497,136
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Solution
The third proportional to 242,736 and 497,136 is: 1,018,160.48
Step by Step Solution
- Step 1: Write the proportion equation
242,736 : 497,136 = 497,136 : x - Step 2: Convert to fraction form
242,736/497,136 = 497,136/x - Step 3: Cross multiply
242,736x = 497,136 × 497,136 - Step 4: Simplify right side
242,736x = 247,144,202,496 - Step 5: Solve for x
x = 247,144,202,496/242,736 - Step 6: Final answer
x = 1,018,160.48
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.