Finding the Third Proportional to 106,701.75 and 230,028.75
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Solution
The third proportional to 106,701.75 and 230,028.75 is: 495,898.39
Step by Step Solution
- Step 1: Write the proportion equation
106,701.75 : 230,028.75 = 230,028.75 : x - Step 2: Convert to fraction form
106,701.75/230,028.75 = 230,028.75/x - Step 3: Cross multiply
106,701.75x = 230,028.75 × 230,028.75 - Step 4: Simplify right side
106,701.75x = 52,913,225,826.56 - Step 5: Solve for x
x = 52,913,225,826.56/106,701.75 - Step 6: Final answer
x = 495,898.39
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.