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Finding the Third Proportional to 254.53 and 550.83

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Solution

The third proportional to 254.53 and 550.83 is: 1,192.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 550.83 = 550.83 : x
  2. Step 2: Convert to fraction form
    254.53/550.83 = 550.83/x
  3. Step 3: Cross multiply
    254.53x = 550.83 × 550.83
  4. Step 4: Simplify right side
    254.53x = 303,411.62
  5. Step 5: Solve for x
    x = 303,411.62/254.53
  6. Step 6: Final answer
    x = 1,192.04

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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.