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Finding the Third Proportional to 206,654.25 and 319,188.75

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Solution

The third proportional to 206,654.25 and 319,188.75 is: 493,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.25 : 319,188.75 = 319,188.75 : x
  2. Step 2: Convert to fraction form
    206,654.25/319,188.75 = 319,188.75/x
  3. Step 3: Cross multiply
    206,654.25x = 319,188.75 × 319,188.75
  4. Step 4: Simplify right side
    206,654.25x = 101,881,458,126.56
  5. Step 5: Solve for x
    x = 101,881,458,126.56/206,654.25
  6. Step 6: Final answer
    x = 493,004.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.