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Finding the Third Proportional to 141,035 and 293,734

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Solution

The third proportional to 141,035 and 293,734 is: 611,760.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,035 : 293,734 = 293,734 : x
  2. Step 2: Convert to fraction form
    141,035/293,734 = 293,734/x
  3. Step 3: Cross multiply
    141,035x = 293,734 × 293,734
  4. Step 4: Simplify right side
    141,035x = 86,279,662,756
  5. Step 5: Solve for x
    x = 86,279,662,756/141,035
  6. Step 6: Final answer
    x = 611,760.65

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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.