Finding the Third Proportional to 175,632.19 and 414,465.75
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Solution
The third proportional to 175,632.19 and 414,465.75 is: 978,077.31
Step by Step Solution
- Step 1: Write the proportion equation
175,632.19 : 414,465.75 = 414,465.75 : x - Step 2: Convert to fraction form
175,632.19/414,465.75 = 414,465.75/x - Step 3: Cross multiply
175,632.19x = 414,465.75 × 414,465.75 - Step 4: Simplify right side
175,632.19x = 171,781,857,923.06 - Step 5: Solve for x
x = 171,781,857,923.06/175,632.19 - Step 6: Final answer
x = 978,077.31
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.