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Finding the Third Proportional to 139 and 301.56

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Solution

The third proportional to 139 and 301.56 is: 654.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139 : 301.56 = 301.56 : x
  2. Step 2: Convert to fraction form
    139/301.56 = 301.56/x
  3. Step 3: Cross multiply
    139x = 301.56 × 301.56
  4. Step 4: Simplify right side
    139x = 90,939.94
  5. Step 5: Solve for x
    x = 90,939.94/139
  6. Step 6: Final answer
    x = 654.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.