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Finding the Third Proportional to 127.25 and 283.38

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Solution

The third proportional to 127.25 and 283.38 is: 631.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.25 : 283.38 = 283.38 : x
  2. Step 2: Convert to fraction form
    127.25/283.38 = 283.38/x
  3. Step 3: Cross multiply
    127.25x = 283.38 × 283.38
  4. Step 4: Simplify right side
    127.25x = 80,301.39
  5. Step 5: Solve for x
    x = 80,301.39/127.25
  6. Step 6: Final answer
    x = 631.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.