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Finding the Third Proportional to 206,471 and 319,094

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Solution

The third proportional to 206,471 and 319,094 is: 493,149.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471 : 319,094 = 319,094 : x
  2. Step 2: Convert to fraction form
    206,471/319,094 = 319,094/x
  3. Step 3: Cross multiply
    206,471x = 319,094 × 319,094
  4. Step 4: Simplify right side
    206,471x = 101,820,980,836
  5. Step 5: Solve for x
    x = 101,820,980,836/206,471
  6. Step 6: Final answer
    x = 493,149.07

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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.