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Finding the Third Proportional to 225.05 and 487.41

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Solution

The third proportional to 225.05 and 487.41 is: 1,055.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.05 : 487.41 = 487.41 : x
  2. Step 2: Convert to fraction form
    225.05/487.41 = 487.41/x
  3. Step 3: Cross multiply
    225.05x = 487.41 × 487.41
  4. Step 4: Simplify right side
    225.05x = 237,564.85
  5. Step 5: Solve for x
    x = 237,564.85/225.05
  6. Step 6: Final answer
    x = 1,055.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.