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Finding the Third Proportional to 209,517.75 and 324,354.38

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Solution

The third proportional to 209,517.75 and 324,354.38 is: 502,132.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,517.75 : 324,354.38 = 324,354.38 : x
  2. Step 2: Convert to fraction form
    209,517.75/324,354.38 = 324,354.38/x
  3. Step 3: Cross multiply
    209,517.75x = 324,354.38 × 324,354.38
  4. Step 4: Simplify right side
    209,517.75x = 105,205,760,581.64
  5. Step 5: Solve for x
    x = 105,205,760,581.64/209,517.75
  6. Step 6: Final answer
    x = 502,132.92

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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.