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Finding the Third Proportional to 104,538 and 229,885

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Solution

The third proportional to 104,538 and 229,885 is: 505,530.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,538 : 229,885 = 229,885 : x
  2. Step 2: Convert to fraction form
    104,538/229,885 = 229,885/x
  3. Step 3: Cross multiply
    104,538x = 229,885 × 229,885
  4. Step 4: Simplify right side
    104,538x = 52,847,113,225
  5. Step 5: Solve for x
    x = 52,847,113,225/104,538
  6. Step 6: Final answer
    x = 505,530.17

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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.