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Finding the Third Proportional to 150,879 and 314,151

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Solution

The third proportional to 150,879 and 314,151 is: 654,105.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,879 : 314,151 = 314,151 : x
  2. Step 2: Convert to fraction form
    150,879/314,151 = 314,151/x
  3. Step 3: Cross multiply
    150,879x = 314,151 × 314,151
  4. Step 4: Simplify right side
    150,879x = 98,690,850,801
  5. Step 5: Solve for x
    x = 98,690,850,801/150,879
  6. Step 6: Final answer
    x = 654,105.94

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.