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Finding the Third Proportional to 208,100 and 449,032

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Solution

The third proportional to 208,100 and 449,032 is: 968,907.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,100 : 449,032 = 449,032 : x
  2. Step 2: Convert to fraction form
    208,100/449,032 = 449,032/x
  3. Step 3: Cross multiply
    208,100x = 449,032 × 449,032
  4. Step 4: Simplify right side
    208,100x = 201,629,737,024
  5. Step 5: Solve for x
    x = 201,629,737,024/208,100
  6. Step 6: Final answer
    x = 968,907.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.