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Finding the Third Proportional to 135.56 and 230.81

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Solution

The third proportional to 135.56 and 230.81 is: 392.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 230.81 = 230.81 : x
  2. Step 2: Convert to fraction form
    135.56/230.81 = 230.81/x
  3. Step 3: Cross multiply
    135.56x = 230.81 × 230.81
  4. Step 4: Simplify right side
    135.56x = 53,274.41
  5. Step 5: Solve for x
    x = 53,274.41/135.56
  6. Step 6: Final answer
    x = 392.99

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.