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Finding the Third Proportional to 239.06 and 358.88

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Solution

The third proportional to 239.06 and 358.88 is: 538.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.06 : 358.88 = 358.88 : x
  2. Step 2: Convert to fraction form
    239.06/358.88 = 358.88/x
  3. Step 3: Cross multiply
    239.06x = 358.88 × 358.88
  4. Step 4: Simplify right side
    239.06x = 128,791.27
  5. Step 5: Solve for x
    x = 128,791.27/239.06
  6. Step 6: Final answer
    x = 538.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.