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Finding the Third Proportional to 131,634 and 204,197

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Solution

The third proportional to 131,634 and 204,197 is: 316,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,634 : 204,197 = 204,197 : x
  2. Step 2: Convert to fraction form
    131,634/204,197 = 204,197/x
  3. Step 3: Cross multiply
    131,634x = 204,197 × 204,197
  4. Step 4: Simplify right side
    131,634x = 41,696,414,809
  5. Step 5: Solve for x
    x = 41,696,414,809/131,634
  6. Step 6: Final answer
    x = 316,760.22

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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.