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Finding the Third Proportional to 216,970.50 and 325,242.75

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Solution

The third proportional to 216,970.50 and 325,242.75 is: 487,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,970.50 : 325,242.75 = 325,242.75 : x
  2. Step 2: Convert to fraction form
    216,970.50/325,242.75 = 325,242.75/x
  3. Step 3: Cross multiply
    216,970.50x = 325,242.75 × 325,242.75
  4. Step 4: Simplify right side
    216,970.50x = 105,782,846,427.56
  5. Step 5: Solve for x
    x = 105,782,846,427.56/216,970.50
  6. Step 6: Final answer
    x = 487,544.83

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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.