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Finding the Third Proportional to 236,880 and 312,984

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Solution

The third proportional to 236,880 and 312,984 is: 413,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,880 : 312,984 = 312,984 : x
  2. Step 2: Convert to fraction form
    236,880/312,984 = 312,984/x
  3. Step 3: Cross multiply
    236,880x = 312,984 × 312,984
  4. Step 4: Simplify right side
    236,880x = 97,958,984,256
  5. Step 5: Solve for x
    x = 97,958,984,256/236,880
  6. Step 6: Final answer
    x = 413,538.43

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.