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Finding the Third Proportional to 134.34 and 281.34

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Solution

The third proportional to 134.34 and 281.34 is: 589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.34 : 281.34 = 281.34 : x
  2. Step 2: Convert to fraction form
    134.34/281.34 = 281.34/x
  3. Step 3: Cross multiply
    134.34x = 281.34 × 281.34
  4. Step 4: Simplify right side
    134.34x = 79,154.31
  5. Step 5: Solve for x
    x = 79,154.31/134.34
  6. Step 6: Final answer
    x = 589.19

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.