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Finding the Third Proportional to 226.34 and 477.00

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Solution

The third proportional to 226.34 and 477.00 is: 1,005.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.34 : 477.00 = 477.00 : x
  2. Step 2: Convert to fraction form
    226.34/477.00 = 477.00/x
  3. Step 3: Cross multiply
    226.34x = 477.00 × 477.00
  4. Step 4: Simplify right side
    226.34x = 227,524.81
  5. Step 5: Solve for x
    x = 227,524.81/226.34
  6. Step 6: Final answer
    x = 1,005.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.