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Finding the Third Proportional to 206,024 and 427,838.25

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Solution

The third proportional to 206,024 and 427,838.25 is: 888,467.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,024 : 427,838.25 = 427,838.25 : x
  2. Step 2: Convert to fraction form
    206,024/427,838.25 = 427,838.25/x
  3. Step 3: Cross multiply
    206,024x = 427,838.25 × 427,838.25
  4. Step 4: Simplify right side
    206,024x = 183,045,568,163.06
  5. Step 5: Solve for x
    x = 183,045,568,163.06/206,024
  6. Step 6: Final answer
    x = 888,467.21

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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.