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Finding the Third Proportional to 144,524 and 219,574

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Solution

The third proportional to 144,524 and 219,574 is: 333,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,524 : 219,574 = 219,574 : x
  2. Step 2: Convert to fraction form
    144,524/219,574 = 219,574/x
  3. Step 3: Cross multiply
    144,524x = 219,574 × 219,574
  4. Step 4: Simplify right side
    144,524x = 48,212,741,476
  5. Step 5: Solve for x
    x = 48,212,741,476/144,524
  6. Step 6: Final answer
    x = 333,596.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.