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Finding the Third Proportional to 144,479 and 311,193

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Solution

The third proportional to 144,479 and 311,193 is: 670,277.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,479 : 311,193 = 311,193 : x
  2. Step 2: Convert to fraction form
    144,479/311,193 = 311,193/x
  3. Step 3: Cross multiply
    144,479x = 311,193 × 311,193
  4. Step 4: Simplify right side
    144,479x = 96,841,083,249
  5. Step 5: Solve for x
    x = 96,841,083,249/144,479
  6. Step 6: Final answer
    x = 670,277.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.