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Finding the Third Proportional to 154,364 and 327,676

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Solution

The third proportional to 154,364 and 327,676 is: 695,573.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,364 : 327,676 = 327,676 : x
  2. Step 2: Convert to fraction form
    154,364/327,676 = 327,676/x
  3. Step 3: Cross multiply
    154,364x = 327,676 × 327,676
  4. Step 4: Simplify right side
    154,364x = 107,371,560,976
  5. Step 5: Solve for x
    x = 107,371,560,976/154,364
  6. Step 6: Final answer
    x = 695,573.84

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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.