Finding the Third Proportional to 117,509.44 and 257,546.06
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Solution
The third proportional to 117,509.44 and 257,546.06 is: 564,465.08
Step by Step Solution
- Step 1: Write the proportion equation
117,509.44 : 257,546.06 = 257,546.06 : x - Step 2: Convert to fraction form
117,509.44/257,546.06 = 257,546.06/x - Step 3: Cross multiply
117,509.44x = 257,546.06 × 257,546.06 - Step 4: Simplify right side
117,509.44x = 66,329,974,309.25 - Step 5: Solve for x
x = 66,329,974,309.25/117,509.44 - Step 6: Final answer
x = 564,465.08
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.