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Finding the Third Proportional to 137.44 and 305.06

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Solution

The third proportional to 137.44 and 305.06 is: 677.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.44 : 305.06 = 305.06 : x
  2. Step 2: Convert to fraction form
    137.44/305.06 = 305.06/x
  3. Step 3: Cross multiply
    137.44x = 305.06 × 305.06
  4. Step 4: Simplify right side
    137.44x = 93,063.13
  5. Step 5: Solve for x
    x = 93,063.13/137.44
  6. Step 6: Final answer
    x = 677.13

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.