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Finding the Third Proportional to 139.64 and 304.17

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Solution

The third proportional to 139.64 and 304.17 is: 662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 304.17 = 304.17 : x
  2. Step 2: Convert to fraction form
    139.64/304.17 = 304.17/x
  3. Step 3: Cross multiply
    139.64x = 304.17 × 304.17
  4. Step 4: Simplify right side
    139.64x = 92,520.53
  5. Step 5: Solve for x
    x = 92,520.53/139.64
  6. Step 6: Final answer
    x = 662.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.