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Finding the Third Proportional to 144,675 and 300,267

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Solution

The third proportional to 144,675 and 300,267 is: 623,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,675 : 300,267 = 300,267 : x
  2. Step 2: Convert to fraction form
    144,675/300,267 = 300,267/x
  3. Step 3: Cross multiply
    144,675x = 300,267 × 300,267
  4. Step 4: Simplify right side
    144,675x = 90,160,271,289
  5. Step 5: Solve for x
    x = 90,160,271,289/144,675
  6. Step 6: Final answer
    x = 623,191.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.