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Finding the Third Proportional to 206,464 and 319,085

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Solution

The third proportional to 206,464 and 319,085 is: 493,137.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,464 : 319,085 = 319,085 : x
  2. Step 2: Convert to fraction form
    206,464/319,085 = 319,085/x
  3. Step 3: Cross multiply
    206,464x = 319,085 × 319,085
  4. Step 4: Simplify right side
    206,464x = 101,815,237,225
  5. Step 5: Solve for x
    x = 101,815,237,225/206,464
  6. Step 6: Final answer
    x = 493,137.97

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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.