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Finding the Third Proportional to 206,968 and 316,392

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Solution

The third proportional to 206,968 and 316,392 is: 483,668.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,968 : 316,392 = 316,392 : x
  2. Step 2: Convert to fraction form
    206,968/316,392 = 316,392/x
  3. Step 3: Cross multiply
    206,968x = 316,392 × 316,392
  4. Step 4: Simplify right side
    206,968x = 100,103,897,664
  5. Step 5: Solve for x
    x = 100,103,897,664/206,968
  6. Step 6: Final answer
    x = 483,668.48

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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.