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Finding the Third Proportional to 236,880 and 347,976

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Solution

The third proportional to 236,880 and 347,976 is: 511,175.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,880 : 347,976 = 347,976 : x
  2. Step 2: Convert to fraction form
    236,880/347,976 = 347,976/x
  3. Step 3: Cross multiply
    236,880x = 347,976 × 347,976
  4. Step 4: Simplify right side
    236,880x = 121,087,296,576
  5. Step 5: Solve for x
    x = 121,087,296,576/236,880
  6. Step 6: Final answer
    x = 511,175.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.