Finding the Third Proportional to 229,443.75 and 492,102
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Solution
The third proportional to 229,443.75 and 492,102 is: 1,055,441.16
Step by Step Solution
- Step 1: Write the proportion equation
229,443.75 : 492,102 = 492,102 : x - Step 2: Convert to fraction form
229,443.75/492,102 = 492,102/x - Step 3: Cross multiply
229,443.75x = 492,102 × 492,102 - Step 4: Simplify right side
229,443.75x = 242,164,378,404 - Step 5: Solve for x
x = 242,164,378,404/229,443.75 - Step 6: Final answer
x = 1,055,441.16
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.