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Finding the Third Proportional to 141,165 and 293,994

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Solution

The third proportional to 141,165 and 293,994 is: 612,279.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,165 : 293,994 = 293,994 : x
  2. Step 2: Convert to fraction form
    141,165/293,994 = 293,994/x
  3. Step 3: Cross multiply
    141,165x = 293,994 × 293,994
  4. Step 4: Simplify right side
    141,165x = 86,432,472,036
  5. Step 5: Solve for x
    x = 86,432,472,036/141,165
  6. Step 6: Final answer
    x = 612,279.76

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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.