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Finding the Third Proportional to 206,880 and 316,334

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Solution

The third proportional to 206,880 and 316,334 is: 483,696.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,880 : 316,334 = 316,334 : x
  2. Step 2: Convert to fraction form
    206,880/316,334 = 316,334/x
  3. Step 3: Cross multiply
    206,880x = 316,334 × 316,334
  4. Step 4: Simplify right side
    206,880x = 100,067,199,556
  5. Step 5: Solve for x
    x = 100,067,199,556/206,880
  6. Step 6: Final answer
    x = 483,696.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.