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Finding the Third Proportional to 139.92 and 305.58

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Solution

The third proportional to 139.92 and 305.58 is: 667.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.92 : 305.58 = 305.58 : x
  2. Step 2: Convert to fraction form
    139.92/305.58 = 305.58/x
  3. Step 3: Cross multiply
    139.92x = 305.58 × 305.58
  4. Step 4: Simplify right side
    139.92x = 93,377.99
  5. Step 5: Solve for x
    x = 93,377.99/139.92
  6. Step 6: Final answer
    x = 667.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.