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Finding the Third Proportional to 136,674 and 293,414

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Solution

The third proportional to 136,674 and 293,414 is: 629,906.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,674 : 293,414 = 293,414 : x
  2. Step 2: Convert to fraction form
    136,674/293,414 = 293,414/x
  3. Step 3: Cross multiply
    136,674x = 293,414 × 293,414
  4. Step 4: Simplify right side
    136,674x = 86,091,775,396
  5. Step 5: Solve for x
    x = 86,091,775,396/136,674
  6. Step 6: Final answer
    x = 629,906.02

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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.