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Finding the Third Proportional to 224.30 and 321.09

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Solution

The third proportional to 224.30 and 321.09 is: 459.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.30 : 321.09 = 321.09 : x
  2. Step 2: Convert to fraction form
    224.30/321.09 = 321.09/x
  3. Step 3: Cross multiply
    224.30x = 321.09 × 321.09
  4. Step 4: Simplify right side
    224.30x = 103,101.20
  5. Step 5: Solve for x
    x = 103,101.20/224.30
  6. Step 6: Final answer
    x = 459.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.