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Finding the Third Proportional to 144,920 and 309,100

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Solution

The third proportional to 144,920 and 309,100 is: 659,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,920 : 309,100 = 309,100 : x
  2. Step 2: Convert to fraction form
    144,920/309,100 = 309,100/x
  3. Step 3: Cross multiply
    144,920x = 309,100 × 309,100
  4. Step 4: Simplify right side
    144,920x = 95,542,810,000
  5. Step 5: Solve for x
    x = 95,542,810,000/144,920
  6. Step 6: Final answer
    x = 659,279.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.