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Finding the Third Proportional to 151,756 and 325,976

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Solution

The third proportional to 151,756 and 325,976 is: 700,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,756 : 325,976 = 325,976 : x
  2. Step 2: Convert to fraction form
    151,756/325,976 = 325,976/x
  3. Step 3: Cross multiply
    151,756x = 325,976 × 325,976
  4. Step 4: Simplify right side
    151,756x = 106,260,352,576
  5. Step 5: Solve for x
    x = 106,260,352,576/151,756
  6. Step 6: Final answer
    x = 700,205.28

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.