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Finding the Third Proportional to 104,617 and 226,615

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Solution

The third proportional to 104,617 and 226,615 is: 490,879.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,617 : 226,615 = 226,615 : x
  2. Step 2: Convert to fraction form
    104,617/226,615 = 226,615/x
  3. Step 3: Cross multiply
    104,617x = 226,615 × 226,615
  4. Step 4: Simplify right side
    104,617x = 51,354,358,225
  5. Step 5: Solve for x
    x = 51,354,358,225/104,617
  6. Step 6: Final answer
    x = 490,879.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.