Finding the Third Proportional to 102,788 and 224,204
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Solution
The third proportional to 102,788 and 224,204 is: 489,039.90
Step by Step Solution
- Step 1: Write the proportion equation
102,788 : 224,204 = 224,204 : x - Step 2: Convert to fraction form
102,788/224,204 = 224,204/x - Step 3: Cross multiply
102,788x = 224,204 × 224,204 - Step 4: Simplify right side
102,788x = 50,267,433,616 - Step 5: Solve for x
x = 50,267,433,616/102,788 - Step 6: Final answer
x = 489,039.90
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.