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Finding the Third Proportional to 236,729 and 332,976

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Solution

The third proportional to 236,729 and 332,976 is: 468,354.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,729 : 332,976 = 332,976 : x
  2. Step 2: Convert to fraction form
    236,729/332,976 = 332,976/x
  3. Step 3: Cross multiply
    236,729x = 332,976 × 332,976
  4. Step 4: Simplify right side
    236,729x = 110,873,016,576
  5. Step 5: Solve for x
    x = 110,873,016,576/236,729
  6. Step 6: Final answer
    x = 468,354.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.