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Finding the Third Proportional to 358.03 and 532.97

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Solution

The third proportional to 358.03 and 532.97 is: 793.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.03 : 532.97 = 532.97 : x
  2. Step 2: Convert to fraction form
    358.03/532.97 = 532.97/x
  3. Step 3: Cross multiply
    358.03x = 532.97 × 532.97
  4. Step 4: Simplify right side
    358.03x = 284,055.69
  5. Step 5: Solve for x
    x = 284,055.69/358.03
  6. Step 6: Final answer
    x = 793.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.