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Finding the Third Proportional to 205,971 and 451,308

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Solution

The third proportional to 205,971 and 451,308 is: 988,871.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,971 : 451,308 = 451,308 : x
  2. Step 2: Convert to fraction form
    205,971/451,308 = 451,308/x
  3. Step 3: Cross multiply
    205,971x = 451,308 × 451,308
  4. Step 4: Simplify right side
    205,971x = 203,678,910,864
  5. Step 5: Solve for x
    x = 203,678,910,864/205,971
  6. Step 6: Final answer
    x = 988,871.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.