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Finding the Third Proportional to 225.07 and 337.61

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Solution

The third proportional to 225.07 and 337.61 is: 506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.07 : 337.61 = 337.61 : x
  2. Step 2: Convert to fraction form
    225.07/337.61 = 337.61/x
  3. Step 3: Cross multiply
    225.07x = 337.61 × 337.61
  4. Step 4: Simplify right side
    225.07x = 113,977.45
  5. Step 5: Solve for x
    x = 113,977.45/225.07
  6. Step 6: Final answer
    x = 506.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.