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Finding the Third Proportional to 143,479.50 and 181,923.75

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Solution

The third proportional to 143,479.50 and 181,923.75 is: 230,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,479.50 : 181,923.75 = 181,923.75 : x
  2. Step 2: Convert to fraction form
    143,479.50/181,923.75 = 181,923.75/x
  3. Step 3: Cross multiply
    143,479.50x = 181,923.75 × 181,923.75
  4. Step 4: Simplify right side
    143,479.50x = 33,096,250,814.06
  5. Step 5: Solve for x
    x = 33,096,250,814.06/143,479.50
  6. Step 6: Final answer
    x = 230,668.85

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.