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Finding the Third Proportional to 226.76 and 349.00

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Solution

The third proportional to 226.76 and 349.00 is: 537.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.76 : 349.00 = 349.00 : x
  2. Step 2: Convert to fraction form
    226.76/349.00 = 349.00/x
  3. Step 3: Cross multiply
    226.76x = 349.00 × 349.00
  4. Step 4: Simplify right side
    226.76x = 121,798.27
  5. Step 5: Solve for x
    x = 121,798.27/226.76
  6. Step 6: Final answer
    x = 537.13

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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.