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Finding the Third Proportional to 225,902 and 301,162

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Solution

The third proportional to 225,902 and 301,162 is: 401,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,902 : 301,162 = 301,162 : x
  2. Step 2: Convert to fraction form
    225,902/301,162 = 301,162/x
  3. Step 3: Cross multiply
    225,902x = 301,162 × 301,162
  4. Step 4: Simplify right side
    225,902x = 90,698,550,244
  5. Step 5: Solve for x
    x = 90,698,550,244/225,902
  6. Step 6: Final answer
    x = 401,495.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.