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Finding the Third Proportional to 195,958 and 293,176

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Solution

The third proportional to 195,958 and 293,176 is: 438,625.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,958 : 293,176 = 293,176 : x
  2. Step 2: Convert to fraction form
    195,958/293,176 = 293,176/x
  3. Step 3: Cross multiply
    195,958x = 293,176 × 293,176
  4. Step 4: Simplify right side
    195,958x = 85,952,166,976
  5. Step 5: Solve for x
    x = 85,952,166,976/195,958
  6. Step 6: Final answer
    x = 438,625.46

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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.