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Finding the Third Proportional to 143,816.50 and 225,114

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Solution

The third proportional to 143,816.50 and 225,114 is: 352,367.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,816.50 : 225,114 = 225,114 : x
  2. Step 2: Convert to fraction form
    143,816.50/225,114 = 225,114/x
  3. Step 3: Cross multiply
    143,816.50x = 225,114 × 225,114
  4. Step 4: Simplify right side
    143,816.50x = 50,676,312,996
  5. Step 5: Solve for x
    x = 50,676,312,996/143,816.50
  6. Step 6: Final answer
    x = 352,367.86

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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.