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Finding the Third Proportional to 154,678 and 327,661

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Solution

The third proportional to 154,678 and 327,661 is: 694,098.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,678 : 327,661 = 327,661 : x
  2. Step 2: Convert to fraction form
    154,678/327,661 = 327,661/x
  3. Step 3: Cross multiply
    154,678x = 327,661 × 327,661
  4. Step 4: Simplify right side
    154,678x = 107,361,730,921
  5. Step 5: Solve for x
    x = 107,361,730,921/154,678
  6. Step 6: Final answer
    x = 694,098.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.