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Finding the Third Proportional to 195,927 and 293,131

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Solution

The third proportional to 195,927 and 293,131 is: 438,560.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,927 : 293,131 = 293,131 : x
  2. Step 2: Convert to fraction form
    195,927/293,131 = 293,131/x
  3. Step 3: Cross multiply
    195,927x = 293,131 × 293,131
  4. Step 4: Simplify right side
    195,927x = 85,925,783,161
  5. Step 5: Solve for x
    x = 85,925,783,161/195,927
  6. Step 6: Final answer
    x = 438,560.19

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