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Finding the Third Proportional to 185,192 and 262,217

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Solution

The third proportional to 185,192 and 262,217 is: 371,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,192 : 262,217 = 262,217 : x
  2. Step 2: Convert to fraction form
    185,192/262,217 = 262,217/x
  3. Step 3: Cross multiply
    185,192x = 262,217 × 262,217
  4. Step 4: Simplify right side
    185,192x = 68,757,755,089
  5. Step 5: Solve for x
    x = 68,757,755,089/185,192
  6. Step 6: Final answer
    x = 371,278.21

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.