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Finding the Third Proportional to 135.84 and 205.03

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Solution

The third proportional to 135.84 and 205.03 is: 309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.84 : 205.03 = 205.03 : x
  2. Step 2: Convert to fraction form
    135.84/205.03 = 205.03/x
  3. Step 3: Cross multiply
    135.84x = 205.03 × 205.03
  4. Step 4: Simplify right side
    135.84x = 42,037.81
  5. Step 5: Solve for x
    x = 42,037.81/135.84
  6. Step 6: Final answer
    x = 309.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.