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Finding the Third Proportional to 158,883 and 330,834

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Solution

The third proportional to 158,883 and 330,834 is: 688,878.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,883 : 330,834 = 330,834 : x
  2. Step 2: Convert to fraction form
    158,883/330,834 = 330,834/x
  3. Step 3: Cross multiply
    158,883x = 330,834 × 330,834
  4. Step 4: Simplify right side
    158,883x = 109,451,135,556
  5. Step 5: Solve for x
    x = 109,451,135,556/158,883
  6. Step 6: Final answer
    x = 688,878.83

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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.