Finding the Third Proportional to 75,567.94 and 164,617.31
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Solution
The third proportional to 75,567.94 and 164,617.31 is: 358,602.61
Step by Step Solution
- Step 1: Write the proportion equation
75,567.94 : 164,617.31 = 164,617.31 : x - Step 2: Convert to fraction form
75,567.94/164,617.31 = 164,617.31/x - Step 3: Cross multiply
75,567.94x = 164,617.31 × 164,617.31 - Step 4: Simplify right side
75,567.94x = 27,098,859,574.72 - Step 5: Solve for x
x = 27,098,859,574.72/75,567.94 - Step 6: Final answer
x = 358,602.61
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.