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Finding the Third Proportional to 103,968 and 220,338

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Solution

The third proportional to 103,968 and 220,338 is: 466,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968 : 220,338 = 220,338 : x
  2. Step 2: Convert to fraction form
    103,968/220,338 = 220,338/x
  3. Step 3: Cross multiply
    103,968x = 220,338 × 220,338
  4. Step 4: Simplify right side
    103,968x = 48,548,834,244
  5. Step 5: Solve for x
    x = 48,548,834,244/103,968
  6. Step 6: Final answer
    x = 466,959.39

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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.