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Finding the Third Proportional to 161,252 and 252,015

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Solution

The third proportional to 161,252 and 252,015 is: 393,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,252 : 252,015 = 252,015 : x
  2. Step 2: Convert to fraction form
    161,252/252,015 = 252,015/x
  3. Step 3: Cross multiply
    161,252x = 252,015 × 252,015
  4. Step 4: Simplify right side
    161,252x = 63,511,560,225
  5. Step 5: Solve for x
    x = 63,511,560,225/161,252
  6. Step 6: Final answer
    x = 393,865.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.