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Finding the Third Proportional to 127.44 and 245.56

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Solution

The third proportional to 127.44 and 245.56 is: 473.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.44 : 245.56 = 245.56 : x
  2. Step 2: Convert to fraction form
    127.44/245.56 = 245.56/x
  3. Step 3: Cross multiply
    127.44x = 245.56 × 245.56
  4. Step 4: Simplify right side
    127.44x = 60,300.94
  5. Step 5: Solve for x
    x = 60,300.94/127.44
  6. Step 6: Final answer
    x = 473.18

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.