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Finding the Third Proportional to 182,252 and 397,215

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Solution

The third proportional to 182,252 and 397,215 is: 865,723.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,252 : 397,215 = 397,215 : x
  2. Step 2: Convert to fraction form
    182,252/397,215 = 397,215/x
  3. Step 3: Cross multiply
    182,252x = 397,215 × 397,215
  4. Step 4: Simplify right side
    182,252x = 157,779,756,225
  5. Step 5: Solve for x
    x = 157,779,756,225/182,252
  6. Step 6: Final answer
    x = 865,723.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.