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Finding the Third Proportional to 141,966 and 305,802

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Solution

The third proportional to 141,966 and 305,802 is: 658,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,966 : 305,802 = 305,802 : x
  2. Step 2: Convert to fraction form
    141,966/305,802 = 305,802/x
  3. Step 3: Cross multiply
    141,966x = 305,802 × 305,802
  4. Step 4: Simplify right side
    141,966x = 93,514,863,204
  5. Step 5: Solve for x
    x = 93,514,863,204/141,966
  6. Step 6: Final answer
    x = 658,713.09

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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.