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Finding the Third Proportional to 182,116 and 371,458

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Solution

The third proportional to 182,116 and 371,458 is: 757,654.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,116 : 371,458 = 371,458 : x
  2. Step 2: Convert to fraction form
    182,116/371,458 = 371,458/x
  3. Step 3: Cross multiply
    182,116x = 371,458 × 371,458
  4. Step 4: Simplify right side
    182,116x = 137,981,045,764
  5. Step 5: Solve for x
    x = 137,981,045,764/182,116
  6. Step 6: Final answer
    x = 757,654.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.