Finding the Third Proportional to 185,142 and 277,257
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Solution
The third proportional to 185,142 and 277,257 is: 415,202.62
Step by Step Solution
- Step 1: Write the proportion equation
185,142 : 277,257 = 277,257 : x - Step 2: Convert to fraction form
185,142/277,257 = 277,257/x - Step 3: Cross multiply
185,142x = 277,257 × 277,257 - Step 4: Simplify right side
185,142x = 76,871,444,049 - Step 5: Solve for x
x = 76,871,444,049/185,142 - Step 6: Final answer
x = 415,202.62
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.