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Finding the Third Proportional to 131,636 and 204,200

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Solution

The third proportional to 131,636 and 204,200 is: 316,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,636 : 204,200 = 204,200 : x
  2. Step 2: Convert to fraction form
    131,636/204,200 = 204,200/x
  3. Step 3: Cross multiply
    131,636x = 204,200 × 204,200
  4. Step 4: Simplify right side
    131,636x = 41,697,640,000
  5. Step 5: Solve for x
    x = 41,697,640,000/131,636
  6. Step 6: Final answer
    x = 316,764.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.