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Finding the Third Proportional to 144,777 and 221,472

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Solution

The third proportional to 144,777 and 221,472 is: 338,795.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,777 : 221,472 = 221,472 : x
  2. Step 2: Convert to fraction form
    144,777/221,472 = 221,472/x
  3. Step 3: Cross multiply
    144,777x = 221,472 × 221,472
  4. Step 4: Simplify right side
    144,777x = 49,049,846,784
  5. Step 5: Solve for x
    x = 49,049,846,784/144,777
  6. Step 6: Final answer
    x = 338,795.85

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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.