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Finding the Third Proportional to 103,824 and 220,608

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Solution

The third proportional to 103,824 and 220,608 is: 468,753.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,824 : 220,608 = 220,608 : x
  2. Step 2: Convert to fraction form
    103,824/220,608 = 220,608/x
  3. Step 3: Cross multiply
    103,824x = 220,608 × 220,608
  4. Step 4: Simplify right side
    103,824x = 48,667,889,664
  5. Step 5: Solve for x
    x = 48,667,889,664/103,824
  6. Step 6: Final answer
    x = 468,753.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.