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Finding the Third Proportional to 135.42 and 206.93

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Solution

The third proportional to 135.42 and 206.93 is: 316.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135.42 : 206.93 = 206.93 : x
  2. Step 2: Convert to fraction form
    135.42/206.93 = 206.93/x
  3. Step 3: Cross multiply
    135.42x = 206.93 × 206.93
  4. Step 4: Simplify right side
    135.42x = 42,819.90
  5. Step 5: Solve for x
    x = 42,819.90/135.42
  6. Step 6: Final answer
    x = 316.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.