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Finding the Third Proportional to 158,936 and 220,341

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Solution

The third proportional to 158,936 and 220,341 is: 305,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,936 : 220,341 = 220,341 : x
  2. Step 2: Convert to fraction form
    158,936/220,341 = 220,341/x
  3. Step 3: Cross multiply
    158,936x = 220,341 × 220,341
  4. Step 4: Simplify right side
    158,936x = 48,550,156,281
  5. Step 5: Solve for x
    x = 48,550,156,281/158,936
  6. Step 6: Final answer
    x = 305,469.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.