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Finding the Third Proportional to 254.81 and 382.78

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Solution

The third proportional to 254.81 and 382.78 is: 575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.81 : 382.78 = 382.78 : x
  2. Step 2: Convert to fraction form
    254.81/382.78 = 382.78/x
  3. Step 3: Cross multiply
    254.81x = 382.78 × 382.78
  4. Step 4: Simplify right side
    254.81x = 146,521.49
  5. Step 5: Solve for x
    x = 146,521.49/254.81
  6. Step 6: Final answer
    x = 575.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.