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Finding the Third Proportional to 167,872.50 and 368,823

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Solution

The third proportional to 167,872.50 and 368,823 is: 810,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,872.50 : 368,823 = 368,823 : x
  2. Step 2: Convert to fraction form
    167,872.50/368,823 = 368,823/x
  3. Step 3: Cross multiply
    167,872.50x = 368,823 × 368,823
  4. Step 4: Simplify right side
    167,872.50x = 136,030,405,329
  5. Step 5: Solve for x
    x = 136,030,405,329/167,872.50
  6. Step 6: Final answer
    x = 810,319.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.