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Finding the Third Proportional to 254 and 363.75

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Solution

The third proportional to 254 and 363.75 is: 520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    254 : 363.75 = 363.75 : x
  2. Step 2: Convert to fraction form
    254/363.75 = 363.75/x
  3. Step 3: Cross multiply
    254x = 363.75 × 363.75
  4. Step 4: Simplify right side
    254x = 132,314.06
  5. Step 5: Solve for x
    x = 132,314.06/254
  6. Step 6: Final answer
    x = 520.92

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