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Finding the Third Proportional to 68,357 and 150,156

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Solution

The third proportional to 68,357 and 150,156 is: 329,839.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,357 : 150,156 = 150,156 : x
  2. Step 2: Convert to fraction form
    68,357/150,156 = 150,156/x
  3. Step 3: Cross multiply
    68,357x = 150,156 × 150,156
  4. Step 4: Simplify right side
    68,357x = 22,546,824,336
  5. Step 5: Solve for x
    x = 22,546,824,336/68,357
  6. Step 6: Final answer
    x = 329,839.29

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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.