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Finding the Third Proportional to 127.44 and 254.56

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Solution

The third proportional to 127.44 and 254.56 is: 508.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 254.56 = 254.56 : x
  2. Step 2: Convert to fraction form
    127.44/254.56 = 254.56/x
  3. Step 3: Cross multiply
    127.44x = 254.56 × 254.56
  4. Step 4: Simplify right side
    127.44x = 64,802.07
  5. Step 5: Solve for x
    x = 64,802.07/127.44
  6. Step 6: Final answer
    x = 508.50

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.