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Finding the Third Proportional to 225,881 and 301,134

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Solution

The third proportional to 225,881 and 301,134 is: 401,457.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,881 : 301,134 = 301,134 : x
  2. Step 2: Convert to fraction form
    225,881/301,134 = 301,134/x
  3. Step 3: Cross multiply
    225,881x = 301,134 × 301,134
  4. Step 4: Simplify right side
    225,881x = 90,681,685,956
  5. Step 5: Solve for x
    x = 90,681,685,956/225,881
  6. Step 6: Final answer
    x = 401,457.79

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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.