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Finding the Third Proportional to 144,648 and 223,524

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Solution

The third proportional to 144,648 and 223,524 is: 345,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,648 : 223,524 = 223,524 : x
  2. Step 2: Convert to fraction form
    144,648/223,524 = 223,524/x
  3. Step 3: Cross multiply
    144,648x = 223,524 × 223,524
  4. Step 4: Simplify right side
    144,648x = 49,962,978,576
  5. Step 5: Solve for x
    x = 49,962,978,576/144,648
  6. Step 6: Final answer
    x = 345,410.78

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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.