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Finding the Third Proportional to 150,008 and 316,874

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Solution

The third proportional to 150,008 and 316,874 is: 669,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,008 : 316,874 = 316,874 : x
  2. Step 2: Convert to fraction form
    150,008/316,874 = 316,874/x
  3. Step 3: Cross multiply
    150,008x = 316,874 × 316,874
  4. Step 4: Simplify right side
    150,008x = 100,409,131,876
  5. Step 5: Solve for x
    x = 100,409,131,876/150,008
  6. Step 6: Final answer
    x = 669,358.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.