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Finding the Third Proportional to 263.44 and 551.06

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Solution

The third proportional to 263.44 and 551.06 is: 1,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.44 : 551.06 = 551.06 : x
  2. Step 2: Convert to fraction form
    263.44/551.06 = 551.06/x
  3. Step 3: Cross multiply
    263.44x = 551.06 × 551.06
  4. Step 4: Simplify right side
    263.44x = 303,669.88
  5. Step 5: Solve for x
    x = 303,669.88/263.44
  6. Step 6: Final answer
    x = 1,152.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.