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Finding the Third Proportional to 129.27 and 281.28

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Solution

The third proportional to 129.27 and 281.28 is: 612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.27 : 281.28 = 281.28 : x
  2. Step 2: Convert to fraction form
    129.27/281.28 = 281.28/x
  3. Step 3: Cross multiply
    129.27x = 281.28 × 281.28
  4. Step 4: Simplify right side
    129.27x = 79,119.14
  5. Step 5: Solve for x
    x = 79,119.14/129.27
  6. Step 6: Final answer
    x = 612.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.