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Finding the Third Proportional to 103.32 and 225.05

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Solution

The third proportional to 103.32 and 225.05 is: 490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.32 : 225.05 = 225.05 : x
  2. Step 2: Convert to fraction form
    103.32/225.05 = 225.05/x
  3. Step 3: Cross multiply
    103.32x = 225.05 × 225.05
  4. Step 4: Simplify right side
    103.32x = 50,649.23
  5. Step 5: Solve for x
    x = 50,649.23/103.32
  6. Step 6: Final answer
    x = 490.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.