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Finding the Third Proportional to 103.50 and 252.84

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Solution

The third proportional to 103.50 and 252.84 is: 617.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.50 : 252.84 = 252.84 : x
  2. Step 2: Convert to fraction form
    103.50/252.84 = 252.84/x
  3. Step 3: Cross multiply
    103.50x = 252.84 × 252.84
  4. Step 4: Simplify right side
    103.50x = 63,929.96
  5. Step 5: Solve for x
    x = 63,929.96/103.50
  6. Step 6: Final answer
    x = 617.68

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.