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Finding the Third Proportional to 195,936 and 293,142

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Solution

The third proportional to 195,936 and 293,142 is: 438,572.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,936 : 293,142 = 293,142 : x
  2. Step 2: Convert to fraction form
    195,936/293,142 = 293,142/x
  3. Step 3: Cross multiply
    195,936x = 293,142 × 293,142
  4. Step 4: Simplify right side
    195,936x = 85,932,232,164
  5. Step 5: Solve for x
    x = 85,932,232,164/195,936
  6. Step 6: Final answer
    x = 438,572.96

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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.