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Finding the Third Proportional to 358.13 and 495.38

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Solution

The third proportional to 358.13 and 495.38 is: 685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.13 : 495.38 = 495.38 : x
  2. Step 2: Convert to fraction form
    358.13/495.38 = 495.38/x
  3. Step 3: Cross multiply
    358.13x = 495.38 × 495.38
  4. Step 4: Simplify right side
    358.13x = 245,396.39
  5. Step 5: Solve for x
    x = 245,396.39/358.13
  6. Step 6: Final answer
    x = 685.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.