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Finding the Third Proportional to 254.50 and 381.13

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Solution

The third proportional to 254.50 and 381.13 is: 570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 381.13 = 381.13 : x
  2. Step 2: Convert to fraction form
    254.50/381.13 = 381.13/x
  3. Step 3: Cross multiply
    254.50x = 381.13 × 381.13
  4. Step 4: Simplify right side
    254.50x = 145,256.27
  5. Step 5: Solve for x
    x = 145,256.27/254.50
  6. Step 6: Final answer
    x = 570.75

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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.