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Finding the Third Proportional to 154,568 and 325,738

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Solution

The third proportional to 154,568 and 325,738 is: 686,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,568 : 325,738 = 325,738 : x
  2. Step 2: Convert to fraction form
    154,568/325,738 = 325,738/x
  3. Step 3: Cross multiply
    154,568x = 325,738 × 325,738
  4. Step 4: Simplify right side
    154,568x = 106,105,244,644
  5. Step 5: Solve for x
    x = 106,105,244,644/154,568
  6. Step 6: Final answer
    x = 686,463.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.