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Finding the Third Proportional to 169,221 and 253,864

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Solution

The third proportional to 169,221 and 253,864 is: 380,844.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,221 : 253,864 = 253,864 : x
  2. Step 2: Convert to fraction form
    169,221/253,864 = 253,864/x
  3. Step 3: Cross multiply
    169,221x = 253,864 × 253,864
  4. Step 4: Simplify right side
    169,221x = 64,446,930,496
  5. Step 5: Solve for x
    x = 64,446,930,496/169,221
  6. Step 6: Final answer
    x = 380,844.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.