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Finding the Third Proportional to 143,893.50 and 225,232.50

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Solution

The third proportional to 143,893.50 and 225,232.50 is: 352,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,893.50 : 225,232.50 = 225,232.50 : x
  2. Step 2: Convert to fraction form
    143,893.50/225,232.50 = 225,232.50/x
  3. Step 3: Cross multiply
    143,893.50x = 225,232.50 × 225,232.50
  4. Step 4: Simplify right side
    143,893.50x = 50,729,679,056.25
  5. Step 5: Solve for x
    x = 50,729,679,056.25/143,893.50
  6. Step 6: Final answer
    x = 352,550.18

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.