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Finding the Third Proportional to 213,268.50 and 324,510.75

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Solution

The third proportional to 213,268.50 and 324,510.75 is: 493,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,268.50 : 324,510.75 = 324,510.75 : x
  2. Step 2: Convert to fraction form
    213,268.50/324,510.75 = 324,510.75/x
  3. Step 3: Cross multiply
    213,268.50x = 324,510.75 × 324,510.75
  4. Step 4: Simplify right side
    213,268.50x = 105,307,226,865.56
  5. Step 5: Solve for x
    x = 105,307,226,865.56/213,268.50
  6. Step 6: Final answer
    x = 493,777.69

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.