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Finding the Third Proportional to 154,568 and 320,980

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Solution

The third proportional to 154,568 and 320,980 is: 666,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,568 : 320,980 = 320,980 : x
  2. Step 2: Convert to fraction form
    154,568/320,980 = 320,980/x
  3. Step 3: Cross multiply
    154,568x = 320,980 × 320,980
  4. Step 4: Simplify right side
    154,568x = 103,028,160,400
  5. Step 5: Solve for x
    x = 103,028,160,400/154,568
  6. Step 6: Final answer
    x = 666,555.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.