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Finding the Third Proportional to 144,914 and 221,694

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Solution

The third proportional to 144,914 and 221,694 is: 339,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,914 : 221,694 = 221,694 : x
  2. Step 2: Convert to fraction form
    144,914/221,694 = 221,694/x
  3. Step 3: Cross multiply
    144,914x = 221,694 × 221,694
  4. Step 4: Simplify right side
    144,914x = 49,148,229,636
  5. Step 5: Solve for x
    x = 49,148,229,636/144,914
  6. Step 6: Final answer
    x = 339,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.