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Finding the Third Proportional to 223.63 and 349.63

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Solution

The third proportional to 223.63 and 349.63 is: 546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.63 : 349.63 = 349.63 : x
  2. Step 2: Convert to fraction form
    223.63/349.63 = 349.63/x
  3. Step 3: Cross multiply
    223.63x = 349.63 × 349.63
  4. Step 4: Simplify right side
    223.63x = 122,237.64
  5. Step 5: Solve for x
    x = 122,237.64/223.63
  6. Step 6: Final answer
    x = 546.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.