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Finding the Third Proportional to 225,668 and 470,238

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Solution

The third proportional to 225,668 and 470,238 is: 979,863.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,668 : 470,238 = 470,238 : x
  2. Step 2: Convert to fraction form
    225,668/470,238 = 470,238/x
  3. Step 3: Cross multiply
    225,668x = 470,238 × 470,238
  4. Step 4: Simplify right side
    225,668x = 221,123,776,644
  5. Step 5: Solve for x
    x = 221,123,776,644/225,668
  6. Step 6: Final answer
    x = 979,863.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.