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Finding the Third Proportional to 220,393 and 327,349

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Solution

The third proportional to 220,393 and 327,349 is: 486,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,393 : 327,349 = 327,349 : x
  2. Step 2: Convert to fraction form
    220,393/327,349 = 327,349/x
  3. Step 3: Cross multiply
    220,393x = 327,349 × 327,349
  4. Step 4: Simplify right side
    220,393x = 107,157,367,801
  5. Step 5: Solve for x
    x = 107,157,367,801/220,393
  6. Step 6: Final answer
    x = 486,210.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.