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Finding the Third Proportional to 351.84 and 957.23

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Solution

The third proportional to 351.84 and 957.23 is: 2,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 957.23 = 957.23 : x
  2. Step 2: Convert to fraction form
    351.84/957.23 = 957.23/x
  3. Step 3: Cross multiply
    351.84x = 957.23 × 957.23
  4. Step 4: Simplify right side
    351.84x = 916,297.65
  5. Step 5: Solve for x
    x = 916,297.65/351.84
  6. Step 6: Final answer
    x = 2,604.27

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.