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Finding the Third Proportional to 143,667.11 and 215,500.66

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Solution

The third proportional to 143,667.11 and 215,500.66 is: 323,250.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,667.11 : 215,500.66 = 215,500.66 : x
  2. Step 2: Convert to fraction form
    143,667.11/215,500.66 = 215,500.66/x
  3. Step 3: Cross multiply
    143,667.11x = 215,500.66 × 215,500.66
  4. Step 4: Simplify right side
    143,667.11x = 46,440,533,685.98
  5. Step 5: Solve for x
    x = 46,440,533,685.98/143,667.11
  6. Step 6: Final answer
    x = 323,250.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.