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Finding the Third Proportional to 68,496 and 150,416

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Solution

The third proportional to 68,496 and 150,416 is: 330,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,496 : 150,416 = 150,416 : x
  2. Step 2: Convert to fraction form
    68,496/150,416 = 150,416/x
  3. Step 3: Cross multiply
    68,496x = 150,416 × 150,416
  4. Step 4: Simplify right side
    68,496x = 22,624,973,056
  5. Step 5: Solve for x
    x = 22,624,973,056/68,496
  6. Step 6: Final answer
    x = 330,310.87

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Why These Related Problems?

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