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Finding the Third Proportional to 138.16 and 325.69

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Solution

The third proportional to 138.16 and 325.69 is: 767.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.16 : 325.69 = 325.69 : x
  2. Step 2: Convert to fraction form
    138.16/325.69 = 325.69/x
  3. Step 3: Cross multiply
    138.16x = 325.69 × 325.69
  4. Step 4: Simplify right side
    138.16x = 106,072.35
  5. Step 5: Solve for x
    x = 106,072.35/138.16
  6. Step 6: Final answer
    x = 767.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.