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Finding the Third Proportional to 283.61 and 376.37

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Solution

The third proportional to 283.61 and 376.37 is: 499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.61 : 376.37 = 376.37 : x
  2. Step 2: Convert to fraction form
    283.61/376.37 = 376.37/x
  3. Step 3: Cross multiply
    283.61x = 376.37 × 376.37
  4. Step 4: Simplify right side
    283.61x = 141,650.79
  5. Step 5: Solve for x
    x = 141,650.79/283.61
  6. Step 6: Final answer
    x = 499.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.