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Finding the Third Proportional to 161,251 and 252,014

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Solution

The third proportional to 161,251 and 252,014 is: 393,864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,251 : 252,014 = 252,014 : x
  2. Step 2: Convert to fraction form
    161,251/252,014 = 252,014/x
  3. Step 3: Cross multiply
    161,251x = 252,014 × 252,014
  4. Step 4: Simplify right side
    161,251x = 63,511,056,196
  5. Step 5: Solve for x
    x = 63,511,056,196/161,251
  6. Step 6: Final answer
    x = 393,864.57

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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.