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Finding the Third Proportional to 273 and 378.38

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Solution

The third proportional to 273 and 378.38 is: 524.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    273 : 378.38 = 378.38 : x
  2. Step 2: Convert to fraction form
    273/378.38 = 378.38/x
  3. Step 3: Cross multiply
    273x = 378.38 × 378.38
  4. Step 4: Simplify right side
    273x = 143,167.64
  5. Step 5: Solve for x
    x = 143,167.64/273
  6. Step 6: Final answer
    x = 524.42

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.