Finding the Third Proportional to 242,137.50 and 478,077
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Solution
The third proportional to 242,137.50 and 478,077 is: 943,916.65
Step by Step Solution
- Step 1: Write the proportion equation
242,137.50 : 478,077 = 478,077 : x - Step 2: Convert to fraction form
242,137.50/478,077 = 478,077/x - Step 3: Cross multiply
242,137.50x = 478,077 × 478,077 - Step 4: Simplify right side
242,137.50x = 228,557,617,929 - Step 5: Solve for x
x = 228,557,617,929/242,137.50 - Step 6: Final answer
x = 943,916.65
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Why These Related Problems?
These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.