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Finding the Third Proportional to 226.53 and 348.80

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Solution

The third proportional to 226.53 and 348.80 is: 537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.53 : 348.80 = 348.80 : x
  2. Step 2: Convert to fraction form
    226.53/348.80 = 348.80/x
  3. Step 3: Cross multiply
    226.53x = 348.80 × 348.80
  4. Step 4: Simplify right side
    226.53x = 121,659.26
  5. Step 5: Solve for x
    x = 121,659.26/226.53
  6. Step 6: Final answer
    x = 537.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.