Finding the Third Proportional to 106,840 and 228,503
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Solution
The third proportional to 106,840 and 228,503 is: 488,708.55
Step by Step Solution
- Step 1: Write the proportion equation
106,840 : 228,503 = 228,503 : x - Step 2: Convert to fraction form
106,840/228,503 = 228,503/x - Step 3: Cross multiply
106,840x = 228,503 × 228,503 - Step 4: Simplify right side
106,840x = 52,213,621,009 - Step 5: Solve for x
x = 52,213,621,009/106,840 - Step 6: Final answer
x = 488,708.55
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.