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Finding the Third Proportional to 251.44 and 541.69

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Solution

The third proportional to 251.44 and 541.69 is: 1,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.44 : 541.69 = 541.69 : x
  2. Step 2: Convert to fraction form
    251.44/541.69 = 541.69/x
  3. Step 3: Cross multiply
    251.44x = 541.69 × 541.69
  4. Step 4: Simplify right side
    251.44x = 293,425.35
  5. Step 5: Solve for x
    x = 293,425.35/251.44
  6. Step 6: Final answer
    x = 1,166.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.