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Finding the Third Proportional to 161,268 and 225,561

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Solution

The third proportional to 161,268 and 225,561 is: 315,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,268 : 225,561 = 225,561 : x
  2. Step 2: Convert to fraction form
    161,268/225,561 = 225,561/x
  3. Step 3: Cross multiply
    161,268x = 225,561 × 225,561
  4. Step 4: Simplify right side
    161,268x = 50,877,764,721
  5. Step 5: Solve for x
    x = 50,877,764,721/161,268
  6. Step 6: Final answer
    x = 315,485.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.