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Finding the Third Proportional to 254.53 and 495.56

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Solution

The third proportional to 254.53 and 495.56 is: 964.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 495.56 = 495.56 : x
  2. Step 2: Convert to fraction form
    254.53/495.56 = 495.56/x
  3. Step 3: Cross multiply
    254.53x = 495.56 × 495.56
  4. Step 4: Simplify right side
    254.53x = 245,582.19
  5. Step 5: Solve for x
    x = 245,582.19/254.53
  6. Step 6: Final answer
    x = 964.84

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.