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Finding the Third Proportional to 358.31 and 440.72

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Solution

The third proportional to 358.31 and 440.72 is: 542.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.31 : 440.72 = 440.72 : x
  2. Step 2: Convert to fraction form
    358.31/440.72 = 440.72/x
  3. Step 3: Cross multiply
    358.31x = 440.72 × 440.72
  4. Step 4: Simplify right side
    358.31x = 194,233.02
  5. Step 5: Solve for x
    x = 194,233.02/358.31
  6. Step 6: Final answer
    x = 542.08

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.