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Finding the Third Proportional to 259.75 and 376.38

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Solution

The third proportional to 259.75 and 376.38 is: 545.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.75 : 376.38 = 376.38 : x
  2. Step 2: Convert to fraction form
    259.75/376.38 = 376.38/x
  3. Step 3: Cross multiply
    259.75x = 376.38 × 376.38
  4. Step 4: Simplify right side
    259.75x = 141,658.14
  5. Step 5: Solve for x
    x = 141,658.14/259.75
  6. Step 6: Final answer
    x = 545.36

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.