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Finding the Third Proportional to 104,756 and 226,246

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Solution

The third proportional to 104,756 and 226,246 is: 488,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,756 : 226,246 = 226,246 : x
  2. Step 2: Convert to fraction form
    104,756/226,246 = 226,246/x
  3. Step 3: Cross multiply
    104,756x = 226,246 × 226,246
  4. Step 4: Simplify right side
    104,756x = 51,187,252,516
  5. Step 5: Solve for x
    x = 51,187,252,516/104,756
  6. Step 6: Final answer
    x = 488,633.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.