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Finding the Third Proportional to 224.49 and 342.67

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Solution

The third proportional to 224.49 and 342.67 is: 523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.49 : 342.67 = 342.67 : x
  2. Step 2: Convert to fraction form
    224.49/342.67 = 342.67/x
  3. Step 3: Cross multiply
    224.49x = 342.67 × 342.67
  4. Step 4: Simplify right side
    224.49x = 117,421.34
  5. Step 5: Solve for x
    x = 117,421.34/224.49
  6. Step 6: Final answer
    x = 523.06

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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.