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Finding the Third Proportional to 195,958.50 and 293,175

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Solution

The third proportional to 195,958.50 and 293,175 is: 438,621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,958.50 : 293,175 = 293,175 : x
  2. Step 2: Convert to fraction form
    195,958.50/293,175 = 293,175/x
  3. Step 3: Cross multiply
    195,958.50x = 293,175 × 293,175
  4. Step 4: Simplify right side
    195,958.50x = 85,951,580,625
  5. Step 5: Solve for x
    x = 85,951,580,625/195,958.50
  6. Step 6: Final answer
    x = 438,621.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.