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Finding the Third Proportional to 208,042 and 449,268

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Solution

The third proportional to 208,042 and 449,268 is: 970,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,042 : 449,268 = 449,268 : x
  2. Step 2: Convert to fraction form
    208,042/449,268 = 449,268/x
  3. Step 3: Cross multiply
    208,042x = 449,268 × 449,268
  4. Step 4: Simplify right side
    208,042x = 201,841,735,824
  5. Step 5: Solve for x
    x = 201,841,735,824/208,042
  6. Step 6: Final answer
    x = 970,197.06

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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.