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Finding the Third Proportional to 143,454 and 293,244

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Solution

The third proportional to 143,454 and 293,244 is: 599,439.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,454 : 293,244 = 293,244 : x
  2. Step 2: Convert to fraction form
    143,454/293,244 = 293,244/x
  3. Step 3: Cross multiply
    143,454x = 293,244 × 293,244
  4. Step 4: Simplify right side
    143,454x = 85,992,043,536
  5. Step 5: Solve for x
    x = 85,992,043,536/143,454
  6. Step 6: Final answer
    x = 599,439.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.