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Finding the Third Proportional to 225.25 and 305.88

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Solution

The third proportional to 225.25 and 305.88 is: 415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.25 : 305.88 = 305.88 : x
  2. Step 2: Convert to fraction form
    225.25/305.88 = 305.88/x
  3. Step 3: Cross multiply
    225.25x = 305.88 × 305.88
  4. Step 4: Simplify right side
    225.25x = 93,559.52
  5. Step 5: Solve for x
    x = 93,559.52/225.25
  6. Step 6: Final answer
    x = 415.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.