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Finding the Third Proportional to 169,434 and 225,882

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Solution

The third proportional to 169,434 and 225,882 is: 301,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,434 : 225,882 = 225,882 : x
  2. Step 2: Convert to fraction form
    169,434/225,882 = 225,882/x
  3. Step 3: Cross multiply
    169,434x = 225,882 × 225,882
  4. Step 4: Simplify right side
    169,434x = 51,022,677,924
  5. Step 5: Solve for x
    x = 51,022,677,924/169,434
  6. Step 6: Final answer
    x = 301,136.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.