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Finding the Third Proportional to 206,455.50 and 319,092.75

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Solution

The third proportional to 206,455.50 and 319,092.75 is: 493,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,455.50 : 319,092.75 = 319,092.75 : x
  2. Step 2: Convert to fraction form
    206,455.50/319,092.75 = 319,092.75/x
  3. Step 3: Cross multiply
    206,455.50x = 319,092.75 × 319,092.75
  4. Step 4: Simplify right side
    206,455.50x = 101,820,183,102.56
  5. Step 5: Solve for x
    x = 101,820,183,102.56/206,455.50
  6. Step 6: Final answer
    x = 493,182.23

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.