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Finding the Third Proportional to 136,956 and 293,244

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Solution

The third proportional to 136,956 and 293,244 is: 627,880.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,956 : 293,244 = 293,244 : x
  2. Step 2: Convert to fraction form
    136,956/293,244 = 293,244/x
  3. Step 3: Cross multiply
    136,956x = 293,244 × 293,244
  4. Step 4: Simplify right side
    136,956x = 85,992,043,536
  5. Step 5: Solve for x
    x = 85,992,043,536/136,956
  6. Step 6: Final answer
    x = 627,880.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.