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Finding the Third Proportional to 251.30 and 376.59

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Solution

The third proportional to 251.30 and 376.59 is: 564.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.30 : 376.59 = 376.59 : x
  2. Step 2: Convert to fraction form
    251.30/376.59 = 376.59/x
  3. Step 3: Cross multiply
    251.30x = 376.59 × 376.59
  4. Step 4: Simplify right side
    251.30x = 141,822.85
  5. Step 5: Solve for x
    x = 141,822.85/251.30
  6. Step 6: Final answer
    x = 564.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.