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Finding the Third Proportional to 376.31 and 537.38

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Solution

The third proportional to 376.31 and 537.38 is: 767.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.31 : 537.38 = 537.38 : x
  2. Step 2: Convert to fraction form
    376.31/537.38 = 537.38/x
  3. Step 3: Cross multiply
    376.31x = 537.38 × 537.38
  4. Step 4: Simplify right side
    376.31x = 288,771.89
  5. Step 5: Solve for x
    x = 288,771.89/376.31
  6. Step 6: Final answer
    x = 767.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.