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Finding the Third Proportional to 194,286 and 419,184

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Solution

The third proportional to 194,286 and 419,184 is: 904,415.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,286 : 419,184 = 419,184 : x
  2. Step 2: Convert to fraction form
    194,286/419,184 = 419,184/x
  3. Step 3: Cross multiply
    194,286x = 419,184 × 419,184
  4. Step 4: Simplify right side
    194,286x = 175,715,225,856
  5. Step 5: Solve for x
    x = 175,715,225,856/194,286
  6. Step 6: Final answer
    x = 904,415.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.