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Finding the Third Proportional to 224.09 and 342.55

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Solution

The third proportional to 224.09 and 342.55 is: 523.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.09 : 342.55 = 342.55 : x
  2. Step 2: Convert to fraction form
    224.09/342.55 = 342.55/x
  3. Step 3: Cross multiply
    224.09x = 342.55 × 342.55
  4. Step 4: Simplify right side
    224.09x = 117,341.04
  5. Step 5: Solve for x
    x = 117,341.04/224.09
  6. Step 6: Final answer
    x = 523.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.