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Finding the Third Proportional to 143,817 and 225,114.75

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Solution

The third proportional to 143,817 and 225,114.75 is: 352,368.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,817 : 225,114.75 = 225,114.75 : x
  2. Step 2: Convert to fraction form
    143,817/225,114.75 = 225,114.75/x
  3. Step 3: Cross multiply
    143,817x = 225,114.75 × 225,114.75
  4. Step 4: Simplify right side
    143,817x = 50,676,650,667.56
  5. Step 5: Solve for x
    x = 50,676,650,667.56/143,817
  6. Step 6: Final answer
    x = 352,368.99

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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.