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Finding the Third Proportional to 144,133.88 and 223,941

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Solution

The third proportional to 144,133.88 and 223,941 is: 347,937.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,133.88 : 223,941 = 223,941 : x
  2. Step 2: Convert to fraction form
    144,133.88/223,941 = 223,941/x
  3. Step 3: Cross multiply
    144,133.88x = 223,941 × 223,941
  4. Step 4: Simplify right side
    144,133.88x = 50,149,571,481
  5. Step 5: Solve for x
    x = 50,149,571,481/144,133.88
  6. Step 6: Final answer
    x = 347,937.44

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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.