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Finding the Third Proportional to 208,418.06 and 424,202.06

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Solution

The third proportional to 208,418.06 and 424,202.06 is: 863,396.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,418.06 : 424,202.06 = 424,202.06 : x
  2. Step 2: Convert to fraction form
    208,418.06/424,202.06 = 424,202.06/x
  3. Step 3: Cross multiply
    208,418.06x = 424,202.06 × 424,202.06
  4. Step 4: Simplify right side
    208,418.06x = 179,947,389,829.25
  5. Step 5: Solve for x
    x = 179,947,389,829.25/208,418.06
  6. Step 6: Final answer
    x = 863,396.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.