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Finding the Third Proportional to 224.09 and 346.11

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Solution

The third proportional to 224.09 and 346.11 is: 534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.09 : 346.11 = 346.11 : x
  2. Step 2: Convert to fraction form
    224.09/346.11 = 346.11/x
  3. Step 3: Cross multiply
    224.09x = 346.11 × 346.11
  4. Step 4: Simplify right side
    224.09x = 119,791.36
  5. Step 5: Solve for x
    x = 119,791.36/224.09
  6. Step 6: Final answer
    x = 534.56

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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.