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Finding the Third Proportional to 195,014 and 291,244

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Solution

The third proportional to 195,014 and 291,244 is: 434,958.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,014 : 291,244 = 291,244 : x
  2. Step 2: Convert to fraction form
    195,014/291,244 = 291,244/x
  3. Step 3: Cross multiply
    195,014x = 291,244 × 291,244
  4. Step 4: Simplify right side
    195,014x = 84,823,067,536
  5. Step 5: Solve for x
    x = 84,823,067,536/195,014
  6. Step 6: Final answer
    x = 434,958.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.