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Finding the Third Proportional to 144,238.50 and 223,917.75

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Solution

The third proportional to 144,238.50 and 223,917.75 is: 347,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,238.50 : 223,917.75 = 223,917.75 : x
  2. Step 2: Convert to fraction form
    144,238.50/223,917.75 = 223,917.75/x
  3. Step 3: Cross multiply
    144,238.50x = 223,917.75 × 223,917.75
  4. Step 4: Simplify right side
    144,238.50x = 50,139,158,765.06
  5. Step 5: Solve for x
    x = 50,139,158,765.06/144,238.50
  6. Step 6: Final answer
    x = 347,612.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.