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Finding the Third Proportional to 141,563 and 305,266

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Solution

The third proportional to 141,563 and 305,266 is: 658,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,563 : 305,266 = 305,266 : x
  2. Step 2: Convert to fraction form
    141,563/305,266 = 305,266/x
  3. Step 3: Cross multiply
    141,563x = 305,266 × 305,266
  4. Step 4: Simplify right side
    141,563x = 93,187,330,756
  5. Step 5: Solve for x
    x = 93,187,330,756/141,563
  6. Step 6: Final answer
    x = 658,274.63

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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.