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Finding the Third Proportional to 137.32 and 206.93

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Solution

The third proportional to 137.32 and 206.93 is: 311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.32 : 206.93 = 206.93 : x
  2. Step 2: Convert to fraction form
    137.32/206.93 = 206.93/x
  3. Step 3: Cross multiply
    137.32x = 206.93 × 206.93
  4. Step 4: Simplify right side
    137.32x = 42,819.90
  5. Step 5: Solve for x
    x = 42,819.90/137.32
  6. Step 6: Final answer
    x = 311.82

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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.