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Finding the Third Proportional to 179,676 and 364,631

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Solution

The third proportional to 179,676 and 364,631 is: 739,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,676 : 364,631 = 364,631 : x
  2. Step 2: Convert to fraction form
    179,676/364,631 = 364,631/x
  3. Step 3: Cross multiply
    179,676x = 364,631 × 364,631
  4. Step 4: Simplify right side
    179,676x = 132,955,766,161
  5. Step 5: Solve for x
    x = 132,955,766,161/179,676
  6. Step 6: Final answer
    x = 739,975.10

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.