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Finding the Third Proportional to 225.69 and 337.63

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Solution

The third proportional to 225.69 and 337.63 is: 505.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.69 : 337.63 = 337.63 : x
  2. Step 2: Convert to fraction form
    225.69/337.63 = 337.63/x
  3. Step 3: Cross multiply
    225.69x = 337.63 × 337.63
  4. Step 4: Simplify right side
    225.69x = 113,990.64
  5. Step 5: Solve for x
    x = 113,990.64/225.69
  6. Step 6: Final answer
    x = 505.08

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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.