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Finding the Third Proportional to 154,512 and 231,614

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Solution

The third proportional to 154,512 and 231,614 is: 347,190.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,512 : 231,614 = 231,614 : x
  2. Step 2: Convert to fraction form
    154,512/231,614 = 231,614/x
  3. Step 3: Cross multiply
    154,512x = 231,614 × 231,614
  4. Step 4: Simplify right side
    154,512x = 53,645,044,996
  5. Step 5: Solve for x
    x = 53,645,044,996/154,512
  6. Step 6: Final answer
    x = 347,190.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.