Finding the Third Proportional to 83,561 and 183,658
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Solution
The third proportional to 83,561 and 183,658 is: 403,660.33
Step by Step Solution
- Step 1: Write the proportion equation
83,561 : 183,658 = 183,658 : x - Step 2: Convert to fraction form
83,561/183,658 = 183,658/x - Step 3: Cross multiply
83,561x = 183,658 × 183,658 - Step 4: Simplify right side
83,561x = 33,730,260,964 - Step 5: Solve for x
x = 33,730,260,964/83,561 - Step 6: Final answer
x = 403,660.33
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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.