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Finding the Third Proportional to 143,020.75 and 194,239.50

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Solution

The third proportional to 143,020.75 and 194,239.50 is: 263,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,020.75 : 194,239.50 = 194,239.50 : x
  2. Step 2: Convert to fraction form
    143,020.75/194,239.50 = 194,239.50/x
  3. Step 3: Cross multiply
    143,020.75x = 194,239.50 × 194,239.50
  4. Step 4: Simplify right side
    143,020.75x = 37,728,983,360.25
  5. Step 5: Solve for x
    x = 37,728,983,360.25/143,020.75
  6. Step 6: Final answer
    x = 263,800.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.