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Finding the Third Proportional to 206,934.75 and 324,830.25

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Solution

The third proportional to 206,934.75 and 324,830.25 is: 509,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,934.75 : 324,830.25 = 324,830.25 : x
  2. Step 2: Convert to fraction form
    206,934.75/324,830.25 = 324,830.25/x
  3. Step 3: Cross multiply
    206,934.75x = 324,830.25 × 324,830.25
  4. Step 4: Simplify right side
    206,934.75x = 105,514,691,315.06
  5. Step 5: Solve for x
    x = 105,514,691,315.06/206,934.75
  6. Step 6: Final answer
    x = 509,893.54

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.