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Finding the Third Proportional to 104,518 and 229,845

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Solution

The third proportional to 104,518 and 229,845 is: 505,450.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,518 : 229,845 = 229,845 : x
  2. Step 2: Convert to fraction form
    104,518/229,845 = 229,845/x
  3. Step 3: Cross multiply
    104,518x = 229,845 × 229,845
  4. Step 4: Simplify right side
    104,518x = 52,828,724,025
  5. Step 5: Solve for x
    x = 52,828,724,025/104,518
  6. Step 6: Final answer
    x = 505,450.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.