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Finding the Third Proportional to 206,623.13 and 319,285.13

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Solution

The third proportional to 206,623.13 and 319,285.13 is: 493,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,623.13 : 319,285.13 = 319,285.13 : x
  2. Step 2: Convert to fraction form
    206,623.13/319,285.13 = 319,285.13/x
  3. Step 3: Cross multiply
    206,623.13x = 319,285.13 × 319,285.13
  4. Step 4: Simplify right side
    206,623.13x = 101,942,991,046.27
  5. Step 5: Solve for x
    x = 101,942,991,046.27/206,623.13
  6. Step 6: Final answer
    x = 493,376.48

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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.