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Finding the Third Proportional to 206,196 and 319,272

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Solution

The third proportional to 206,196 and 319,272 is: 494,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,196 : 319,272 = 319,272 : x
  2. Step 2: Convert to fraction form
    206,196/319,272 = 319,272/x
  3. Step 3: Cross multiply
    206,196x = 319,272 × 319,272
  4. Step 4: Simplify right side
    206,196x = 101,934,609,984
  5. Step 5: Solve for x
    x = 101,934,609,984/206,196
  6. Step 6: Final answer
    x = 494,357.84

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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.