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Finding the Third Proportional to 139.83 and 302.39

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Solution

The third proportional to 139.83 and 302.39 is: 653.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.83 : 302.39 = 302.39 : x
  2. Step 2: Convert to fraction form
    139.83/302.39 = 302.39/x
  3. Step 3: Cross multiply
    139.83x = 302.39 × 302.39
  4. Step 4: Simplify right side
    139.83x = 91,440.09
  5. Step 5: Solve for x
    x = 91,440.09/139.83
  6. Step 6: Final answer
    x = 653.95

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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.