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Finding the Third Proportional to 231,892 and 330,720

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Solution

The third proportional to 231,892 and 330,720 is: 471,666.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,892 : 330,720 = 330,720 : x
  2. Step 2: Convert to fraction form
    231,892/330,720 = 330,720/x
  3. Step 3: Cross multiply
    231,892x = 330,720 × 330,720
  4. Step 4: Simplify right side
    231,892x = 109,375,718,400
  5. Step 5: Solve for x
    x = 109,375,718,400/231,892
  6. Step 6: Final answer
    x = 471,666.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.