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Finding the Third Proportional to 169,299.84 and 352,611.98

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Solution

The third proportional to 169,299.84 and 352,611.98 is: 734,408.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,299.84 : 352,611.98 = 352,611.98 : x
  2. Step 2: Convert to fraction form
    169,299.84/352,611.98 = 352,611.98/x
  3. Step 3: Cross multiply
    169,299.84x = 352,611.98 × 352,611.98
  4. Step 4: Simplify right side
    169,299.84x = 124,335,211,524.88
  5. Step 5: Solve for x
    x = 124,335,211,524.88/169,299.84
  6. Step 6: Final answer
    x = 734,408.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.