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Finding the Third Proportional to 175.03 and 223.03

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Solution

The third proportional to 175.03 and 223.03 is: 284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.03 : 223.03 = 223.03 : x
  2. Step 2: Convert to fraction form
    175.03/223.03 = 223.03/x
  3. Step 3: Cross multiply
    175.03x = 223.03 × 223.03
  4. Step 4: Simplify right side
    175.03x = 49,742.94
  5. Step 5: Solve for x
    x = 49,742.94/175.03
  6. Step 6: Final answer
    x = 284.19

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.