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Finding the Third Proportional to 139.30 and 301.38

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Solution

The third proportional to 139.30 and 301.38 is: 652.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.30 : 301.38 = 301.38 : x
  2. Step 2: Convert to fraction form
    139.30/301.38 = 301.38/x
  3. Step 3: Cross multiply
    139.30x = 301.38 × 301.38
  4. Step 4: Simplify right side
    139.30x = 90,828.07
  5. Step 5: Solve for x
    x = 90,828.07/139.30
  6. Step 6: Final answer
    x = 652.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.