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Finding the Third Proportional to 179,846 and 385,936

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Solution

The third proportional to 179,846 and 385,936 is: 828,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,846 : 385,936 = 385,936 : x
  2. Step 2: Convert to fraction form
    179,846/385,936 = 385,936/x
  3. Step 3: Cross multiply
    179,846x = 385,936 × 385,936
  4. Step 4: Simplify right side
    179,846x = 148,946,596,096
  5. Step 5: Solve for x
    x = 148,946,596,096/179,846
  6. Step 6: Final answer
    x = 828,189.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.