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Finding the Third Proportional to 236,729 and 332,978

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Solution

The third proportional to 236,729 and 332,978 is: 468,359.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,729 : 332,978 = 332,978 : x
  2. Step 2: Convert to fraction form
    236,729/332,978 = 332,978/x
  3. Step 3: Cross multiply
    236,729x = 332,978 × 332,978
  4. Step 4: Simplify right side
    236,729x = 110,874,348,484
  5. Step 5: Solve for x
    x = 110,874,348,484/236,729
  6. Step 6: Final answer
    x = 468,359.81

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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.