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Finding the Third Proportional to 135.56 and 200.34

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Solution

The third proportional to 135.56 and 200.34 is: 296.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.56 : 200.34 = 200.34 : x
  2. Step 2: Convert to fraction form
    135.56/200.34 = 200.34/x
  3. Step 3: Cross multiply
    135.56x = 200.34 × 200.34
  4. Step 4: Simplify right side
    135.56x = 40,137.62
  5. Step 5: Solve for x
    x = 40,137.62/135.56
  6. Step 6: Final answer
    x = 296.08

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.