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Finding the Third Proportional to 138.82 and 295.80

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Solution

The third proportional to 138.82 and 295.80 is: 630.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.82 : 295.80 = 295.80 : x
  2. Step 2: Convert to fraction form
    138.82/295.80 = 295.80/x
  3. Step 3: Cross multiply
    138.82x = 295.80 × 295.80
  4. Step 4: Simplify right side
    138.82x = 87,497.81
  5. Step 5: Solve for x
    x = 87,497.81/138.82
  6. Step 6: Final answer
    x = 630.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.