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Finding the Third Proportional to 104,532 and 229,874

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Solution

The third proportional to 104,532 and 229,874 is: 505,510.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,532 : 229,874 = 229,874 : x
  2. Step 2: Convert to fraction form
    104,532/229,874 = 229,874/x
  3. Step 3: Cross multiply
    104,532x = 229,874 × 229,874
  4. Step 4: Simplify right side
    104,532x = 52,842,055,876
  5. Step 5: Solve for x
    x = 52,842,055,876/104,532
  6. Step 6: Final answer
    x = 505,510.81

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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.