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Finding the Third Proportional to 68,488 and 150,400

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Solution

The third proportional to 68,488 and 150,400 is: 330,279.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,488 : 150,400 = 150,400 : x
  2. Step 2: Convert to fraction form
    68,488/150,400 = 150,400/x
  3. Step 3: Cross multiply
    68,488x = 150,400 × 150,400
  4. Step 4: Simplify right side
    68,488x = 22,620,160,000
  5. Step 5: Solve for x
    x = 22,620,160,000/68,488
  6. Step 6: Final answer
    x = 330,279.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.