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Finding the Third Proportional to 104,530 and 229,870

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Solution

The third proportional to 104,530 and 229,870 is: 505,502.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,530 : 229,870 = 229,870 : x
  2. Step 2: Convert to fraction form
    104,530/229,870 = 229,870/x
  3. Step 3: Cross multiply
    104,530x = 229,870 × 229,870
  4. Step 4: Simplify right side
    104,530x = 52,840,216,900
  5. Step 5: Solve for x
    x = 52,840,216,900/104,530
  6. Step 6: Final answer
    x = 505,502.89

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