Finding the Third Proportional to 205,135.50 and 310,533.75
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Solution
The third proportional to 205,135.50 and 310,533.75 is: 470,085.43
Step by Step Solution
- Step 1: Write the proportion equation
205,135.50 : 310,533.75 = 310,533.75 : x - Step 2: Convert to fraction form
205,135.50/310,533.75 = 310,533.75/x - Step 3: Cross multiply
205,135.50x = 310,533.75 × 310,533.75 - Step 4: Simplify right side
205,135.50x = 96,431,209,889.06 - Step 5: Solve for x
x = 96,431,209,889.06/205,135.50 - Step 6: Final answer
x = 470,085.43
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Why These Related Problems?
These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.