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Finding the Third Proportional to 236,450 and 325,150

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Solution

The third proportional to 236,450 and 325,150 is: 447,124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,450 : 325,150 = 325,150 : x
  2. Step 2: Convert to fraction form
    236,450/325,150 = 325,150/x
  3. Step 3: Cross multiply
    236,450x = 325,150 × 325,150
  4. Step 4: Simplify right side
    236,450x = 105,722,522,500
  5. Step 5: Solve for x
    x = 105,722,522,500/236,450
  6. Step 6: Final answer
    x = 447,124.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.