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Finding the Third Proportional to 208,845 and 455,187

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Solution

The third proportional to 208,845 and 455,187 is: 992,100.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,845 : 455,187 = 455,187 : x
  2. Step 2: Convert to fraction form
    208,845/455,187 = 455,187/x
  3. Step 3: Cross multiply
    208,845x = 455,187 × 455,187
  4. Step 4: Simplify right side
    208,845x = 207,195,204,969
  5. Step 5: Solve for x
    x = 207,195,204,969/208,845
  6. Step 6: Final answer
    x = 992,100.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.