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Finding the Third Proportional to 139.29 and 304.52

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Solution

The third proportional to 139.29 and 304.52 is: 665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.29 : 304.52 = 304.52 : x
  2. Step 2: Convert to fraction form
    139.29/304.52 = 304.52/x
  3. Step 3: Cross multiply
    139.29x = 304.52 × 304.52
  4. Step 4: Simplify right side
    139.29x = 92,734.52
  5. Step 5: Solve for x
    x = 92,734.52/139.29
  6. Step 6: Final answer
    x = 665.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.