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Finding the Third Proportional to 213,911.25 and 320,199.75

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Solution

The third proportional to 213,911.25 and 320,199.75 is: 479,301.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,911.25 : 320,199.75 = 320,199.75 : x
  2. Step 2: Convert to fraction form
    213,911.25/320,199.75 = 320,199.75/x
  3. Step 3: Cross multiply
    213,911.25x = 320,199.75 × 320,199.75
  4. Step 4: Simplify right side
    213,911.25x = 102,527,879,900.06
  5. Step 5: Solve for x
    x = 102,527,879,900.06/213,911.25
  6. Step 6: Final answer
    x = 479,301.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.