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Finding the Third Proportional to 175.69 and 403.31

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Solution

The third proportional to 175.69 and 403.31 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.69 : 403.31 = 403.31 : x
  2. Step 2: Convert to fraction form
    175.69/403.31 = 403.31/x
  3. Step 3: Cross multiply
    175.69x = 403.31 × 403.31
  4. Step 4: Simplify right side
    175.69x = 162,660.97
  5. Step 5: Solve for x
    x = 162,660.97/175.69
  6. Step 6: Final answer
    x = 925.85

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.