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Finding the Third Proportional to 143,353.50 and 227,742

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Solution

The third proportional to 143,353.50 and 227,742 is: 361,807.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,353.50 : 227,742 = 227,742 : x
  2. Step 2: Convert to fraction form
    143,353.50/227,742 = 227,742/x
  3. Step 3: Cross multiply
    143,353.50x = 227,742 × 227,742
  4. Step 4: Simplify right side
    143,353.50x = 51,866,418,564
  5. Step 5: Solve for x
    x = 51,866,418,564/143,353.50
  6. Step 6: Final answer
    x = 361,807.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.