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Finding the Third Proportional to 104,630 and 226,026

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Solution

The third proportional to 104,630 and 226,026 is: 488,270.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,630 : 226,026 = 226,026 : x
  2. Step 2: Convert to fraction form
    104,630/226,026 = 226,026/x
  3. Step 3: Cross multiply
    104,630x = 226,026 × 226,026
  4. Step 4: Simplify right side
    104,630x = 51,087,752,676
  5. Step 5: Solve for x
    x = 51,087,752,676/104,630
  6. Step 6: Final answer
    x = 488,270.60

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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.