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Finding the Third Proportional to 300,176 and 422,184

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Solution

The third proportional to 300,176 and 422,184 is: 593,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,176 : 422,184 = 422,184 : x
  2. Step 2: Convert to fraction form
    300,176/422,184 = 422,184/x
  3. Step 3: Cross multiply
    300,176x = 422,184 × 422,184
  4. Step 4: Simplify right side
    300,176x = 178,239,329,856
  5. Step 5: Solve for x
    x = 178,239,329,856/300,176
  6. Step 6: Final answer
    x = 593,782.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.