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Finding the Third Proportional to 159,415.50 and 336,825

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Solution

The third proportional to 159,415.50 and 336,825 is: 711,669.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,415.50 : 336,825 = 336,825 : x
  2. Step 2: Convert to fraction form
    159,415.50/336,825 = 336,825/x
  3. Step 3: Cross multiply
    159,415.50x = 336,825 × 336,825
  4. Step 4: Simplify right side
    159,415.50x = 113,451,080,625
  5. Step 5: Solve for x
    x = 113,451,080,625/159,415.50
  6. Step 6: Final answer
    x = 711,669.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.