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Finding the Third Proportional to 253.88 and 548.25

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Solution

The third proportional to 253.88 and 548.25 is: 1,183.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.88 : 548.25 = 548.25 : x
  2. Step 2: Convert to fraction form
    253.88/548.25 = 548.25/x
  3. Step 3: Cross multiply
    253.88x = 548.25 × 548.25
  4. Step 4: Simplify right side
    253.88x = 300,578.06
  5. Step 5: Solve for x
    x = 300,578.06/253.88
  6. Step 6: Final answer
    x = 1,183.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.