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Finding the Third Proportional to 213,273 and 324,517.50

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Solution

The third proportional to 213,273 and 324,517.50 is: 493,787.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,273 : 324,517.50 = 324,517.50 : x
  2. Step 2: Convert to fraction form
    213,273/324,517.50 = 324,517.50/x
  3. Step 3: Cross multiply
    213,273x = 324,517.50 × 324,517.50
  4. Step 4: Simplify right side
    213,273x = 105,311,607,806.25
  5. Step 5: Solve for x
    x = 105,311,607,806.25/213,273
  6. Step 6: Final answer
    x = 493,787.81

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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.