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Finding the Third Proportional to 225.49 and 475.45

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Solution

The third proportional to 225.49 and 475.45 is: 1,002.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.49 : 475.45 = 475.45 : x
  2. Step 2: Convert to fraction form
    225.49/475.45 = 475.45/x
  3. Step 3: Cross multiply
    225.49x = 475.45 × 475.45
  4. Step 4: Simplify right side
    225.49x = 226,055.67
  5. Step 5: Solve for x
    x = 226,055.67/225.49
  6. Step 6: Final answer
    x = 1,002.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.