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Finding the Third Proportional to 141,847 and 306,110

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Solution

The third proportional to 141,847 and 306,110 is: 660,594.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,847 : 306,110 = 306,110 : x
  2. Step 2: Convert to fraction form
    141,847/306,110 = 306,110/x
  3. Step 3: Cross multiply
    141,847x = 306,110 × 306,110
  4. Step 4: Simplify right side
    141,847x = 93,703,332,100
  5. Step 5: Solve for x
    x = 93,703,332,100/141,847
  6. Step 6: Final answer
    x = 660,594.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.